<h2> Publications of Metin Gürses' home page </h2>

Publications of Metin Gürses

Classification of the publications

I. MATHEMATICAL PHYSICS

A. General Relativity: 1-11,17,19-22, 24-28,30,31,33-35, 40,42,43,47,49,54,55,62,63,69,75-77,80,81,83-86.

1. Quantum Gravity: 1.

2. Kerr-Schild Metrics: 3,8,11,33,34,75,77.

3. SAS Metrics: 5,6,17,18,21,22,24,27.

4. Colliding Gravitational Plane Waves: 19,43,54,69,77.

5. Einstein-Massless Scalar , Dilaton Field Equations: 6,9,10,54,55,69.

6. Conformally Flat Metrics: 2, 9.

7. Brans-Dicke Theory: 13

8. Inverse Scattering Techniques for SAS Field Equations: 21-24,27.

9. Prlongation Of Einstein's Equations: 26,28,30,33,36,49.

10. Black Hole Uniqueness 24, 48, 55.

11. Godel Metrics 83,86,87,90,96,100.

B. Isham-Salam-Strathde f-g Theory: 12,14,15

C. Poincare-Gauge Theory: 37,38,39,41

D. Self-Dual Yang-Mills and Gravitation: 17,21,23,24,27.

E. Classical Sigma Models: 45,48,60,65,70.

F. Topolocalyy Massive Gravity: 50,100.102.106.

G. Massive Gravity: 12, 14,15, 103,107.

II. APPLIED MATHEMATICS

A. Inverse Scattering Techniques and Harmonic Mappings: 21,22,23,24,27.

B. Prolongation of Einstein's equations: 26,28,30,33,36,49.

C. Super Integrable Systems: 29,32,44.

D. Classification of Integrable PDE's: 46,53,57,59,64,66,68,70, 71,74.

E. Symmetries and Boundary Conditions: 51,52,58,64,92,95.

F. Differential Geometry and Soliton Equations: 16,40,61,65, 67,72,73,89.

G. Poisson Structures 79,82,88,93,97,98.

H. Recursion Operators and Symmetries and Integrable Systems 59,64,68,71,74,87,104,109.

Publications , 1974-2013

1974

1. The Choice of the Gravitational Field Variables in Electromagnetic Self Energy Problem , Nuovo Cimento 20A, (1974) ,363 . M. Gürses.

1975

2. The Conformal Uniqueness and Various Forms of the Schwarzschild Interior Metric , Nuovo Cimento 25B ,(1975), 786 .M. Gürses end Y. Gürsey.

3. Lorentz Covariant Treatment of the Kerr-Schild Mteric , Journal of Math.Phys. 16, (1975), 2385 , (pdf file) . M. Gürses and F. Gürsey.

4. Derivation of the String Equation of Motion in General Relativity , Phys.Rev. D11 , (1975), 967 , (pdf file) . M. Gürses and F.Gürsey.

5. An Axially-Symmetric Stationary Solution of Einstein`s Field Equations , Nuovo Cimento Letters 14 , (1975),67 . M. Gürses and R. Güven.

1977

6. Stationary Axially-Symmetric Solutions of the Eintein - Maxwell-Massless Scalar Field Equations , Journ. Math. Phys. 18, (1977), 1303 , (pdf file) . M. Gürses and A.Eris.

7. Conformal Uniqueness of the Schwarzschild Interior Metric , Nuovo Cimento Letters 18 , (1977) , 327 . M. Gürses.

8. Some Special Kerr-Schild Metrics , Nuovo Cimento 39B, (1977) , 226 . M. Gurses and F. Gursey.

9. Conformally Flat Massless Scalar Field Solutions , Phys. Rev. D13 , (1977) , 2731 . M. Gurses.

10. Some Solutions of Axially - Symmetric Stationary Gravitational Field Equations , Journ. Math. Phys. 18, (1977) , 2356 , (pdf file) . M. Gurses.

1978

11. PP-Waves in the Generalized Einstein Theories, Physics Letters 68A , (1978) 182 . M. Gurses and M.Halil.

1979

12. A New Class of f-g Fields Relevant to Quark Confinement, Phys. Rev. 20D, (1979) 1019 . M. Gurses.

1980

13. On the Connection for the Brans-Dicke-Jordan Theory , Nuovo Cimento Letters 27 , (1980) 562 . M. Gurses and M. Halil.

14. Cosmological f-g Fields Relevant to Quark Confinement , Max-Planck Preprints , MPI-PAE/Astro,221,1980; Journal of Physics: A Mathematics and General 13, (1980) L223 . M. Gurses.

1981

15. Solutions of the f-g Field Equations , Journal of Physics 14 , (1981) 1957 . M. Gurses.

16. (a). Collapso-Guichard Solitons ,Princeton University Preprints, April 1979. (b). New Nonlinear Evolution Equations From Surface Theory , Journal of Math.Physics 22, (1981) 1353 , (pdf file) . M. Gurses and Y. Nutku.

1982

17. Axially - Symmetric , Static Self-Dual SU(3) Gauge Fields and Stationary Einstein -Maxwell Metrics , Phys.Rev. 26D , (1982) 1912 . M. Gurses and B.C. Xanthapoulos.

18. Maxwellian Yang-Mills Fields , Nuovo Cimento Letters 35, (1982) 49 . M. Gurses.

19. Superposed Interacting Plane Waves in General Relativity, Nuovo Cimento Letters 34, (1982) 588 . M. Gurses and M. Halilsoy.

20. Accelerated Colored Charges in General Relativity , Journal of Physics A: Mathematics and General 15 , (1982) 3535 . M. Gurses.

1983

21. Gravitational One Solitons, Physical Review Letters 51 , (1983) 1810. M. Gurses.

22. Harmonic Mappings and the Self-Dual Yang-Mills Fields , Journal of Physics : Mathematics and General 16, (1983) L635. M. Gurses , R. Jantsen and B. Xanthopoulos.

1984

23. Symmetric Space Property and an Inverse Scattering Formulation of the S.S.S Einstein-Maxwell Field Equations Journ. Math. Phys. 25, (1984) 1489. , (pdf file) . A. Eris, M. Gurses and A. Karasu.

24. Axially Symmetric , Static Self-Dual Yang-Mills and Stationary Einstein - Gauge Field Equations, Physical Review D51 , (1984) 486. M. Gurses.

25. A Finite Slow - Motion Approximation Method for Self - Gravtating Systems , Physics Letters 100A, (1984) 15. M. Gurses and M. Walker.

26. Prolongation Structure and a Backlund Transformation for Vacuum Field Equations, Physics Letters 101A} , (1984) 388. M. Gurses.

27. Inverse Scattering, Differetial Geometry,Einstein Maxwell 2N Solitons and Gravitational One Soliton Backlund Transformations in Solutions of Einstein`s Equations ; Techniques and Results , Edited by C . Hoensalears and W . Dietz , Lecture Notes in Physics , No.205, pp.199-234 , Springer , Berlin , (1984). M. Gurses.

1985

28. The Cartan Ideal, Prolongation and the Peinleve Property of the Einstein Field Equations, in Proceedings of the IV.Marcel Grossmann Meetings , Edited by R.Ruffini, Rome, Italy , North Holland, 1985 . M. Gurses and A. Bilge.
$u(a)-\alpha u^{\prime}(a)=0$
29. A Super AKNS Scheme , Physics Letters 108A, (1985) 437. M. Gurses and O. Oguz.

1986

30. Integrability of the Vacuum Einstein Field Equations , in XIII. International Conference on Differential Geometric Methods in Theoretical Physics ,pp.260-278 Edited by G. Doebner and T.D.Palev, (World Scientific,Singapore, 1986). M. Gurses.

31. A Singular Manifold Analysis of the Vacuum Einstein Field Equations , Letters in Mathematical Physics 11 , (1986) 59. M. Gurses. Quantizationex and Pdf files of one of my contribution to Quantizationex and Pdf files of one of my contribution to Quantizationex and Pdf files of one of my contribution to Quantizationex and Pdf files of one of my contribution to Quantizationex and Pdf files of one of my contribution to

32. (a). A Super Soliton Connection , ICTP Report} , (IC/85/84) (b). A Super Soliton Connection , Letters in Mathematical Physics 11 , (1986) 235. M. Gurses and O. Oguz.

33. The Cartan Ideal, Prolongation and Backlund Transformations for Einstein`s Field Equations , Journal of Math. Phys. 27, (1986) 1819. , (pdf file) . M. Gurses and A. Bilge.

34. The Generalized Kerr-Schild Transform in Eleven Dimensional Super Gravity , Physics Letters 171B , (1986) 209. T.Dereli and M. Gurses .

1987

35. Some Linear Prolongation of the Vacuum Gravitational Field Equations , in XIV . Yamada Conference on Gravitational Collapse and Relativity , Edited by H.Sato and T.Nakamura (World Scientific Singapore, 1987.). M. Gurses.

36. Prolongation Structure and Painleve Property of Nonlinear Partial Differential Equations , DOGA ( Turkish Journal of Mathematics) 11, (1987) 1. M. Gurses.

37. Exact Solutions of the Poicare Gauge Theory from its Linearized Equations , Letters in Math.Physics , 14, (1987) ,185. P.Baekler and M. Gurses.

38. A Kerr-like solution of the Poincare Gauge Field Equations , Nuovo Cimento 99B, (1987) 171. J.D. Mc Crea , P.Baekler and M. Gurses.

1988

39. The Exterior Gravitational Field of a charged spinning source in the Poincare Gauge Theory : A Kerr-Newmann metric with dynamic torsion , Physics Letters 128A , (1988) 245. P.Baekler , M. Gurses , F.W.Hehl and J.D.Mc Crea.

40. Soliton Geometry for the Gravitational Field Equations in Proceedings of MG-5 meeting, 8-13 Augost 1988, Perth Australia. M. Gurses.

41. A new Method to solve the field equations of Poincare Gauge Theories , Journ. of Class. and Quantum Gravity 5 , (1988) L105. P. Baekler ,M. Gurses and F.W.Hehl.

1989

42. Soliton Geometry and the Vacuum Gravitational Field Equations, (ICTP Report, 1988), Letters in Math. physics 17 , (1989) 231. M. Gurses.

43. Colliding Abelian Plane Waves, Journ. of Classical and Quantum Gravity 6, (1989) L71. M. Gurses and A.Kalkanli.

1990

44. Integrable Nonlinear Partial Differential Equations on Homogenous Spaces , International Journal of Modern Physics 5A, (1990), 1801. M. Gurses , S.Salihoglu and O.Oguz.

1991

45. Integrable Sigma Models , International, Journal of Modern Physics 6A , (1991) 487. M. Gurses and A. Karasu.

1992

46. A New Test for the Integrability of the Nonlinear P.D.E's in Nonlinear Evolution Equations and Dynamical Systems (Proceedings of NEEDS 1991) Edited by M. Boiti , L. Martina and F. Pempinelli. (World Scientific , Singapore, 1992). page 303 M. Gurses , A. Karasu and A. Satir.

47. Signatures of Black Holes in String Theory , Physical Review D46 , 2522 (1992) . M. Gurses .

48. Uniqueness of The Solutions of Sigma Models in Non-Riemannian Geometries , Letters in Mathematical Physics , 16 , 265 (1992) . M. Gurses .

1993

49. New Symmetries of The Vacuum Einstein Equations, Physical Review Letters , 70 , 367 (1993) . M. Gurses .

1994

50. Perfect Fluid Sources in 2+1 Dimensions , Class. Quantum Grav., 11, 2585 (1994). M. Gurses .

51. Boundary Value Problems Compatible with Symmetries, Physics Letters A190 , 231 (1994). B. Gurel , M. Gurses and I. Habibullin.

1995

52. Boundary Value Problems for Integrable Equations Compatible with the Symmetry Algebra, Journal of Mathematical Physics 36 , 6809 (1995). , (pdf file) , solv-int/9411001. ps, dvi and pdf files B. Gurel , M. Gurses and I. Habibullin.

53. Variable Coefficient Third Order KdV Type of Equations, Journal of Mathematical Physics 36 , 3485 (1995). , (pdf file) , solv-int/9411004. ps , dvi and pdf files M. Gurses and A. Karasu

54. Colliding Gravitational Plane Waves In Dilaton Gravity , Physical Review D52 , 809(1995). , hep-th/9503218. ps, dvi and pdf files M. Gurses and E. Sermutlu

55. Static spherically symmetric solutions to Einstein-Maxwell dilaton field equations in D dimensions , Classical and Quantum Gravity 12, 2799 (1995)., hep-th/9509076. ps , dvi and pdf files M. Gurses and E. Sermutlu.

1996

56. Integrable Boundary Conditions For Evolution Equations , in Nonlinear Physics: theory and experiment, Eds. E. Alfinito et al, pp. 131-139 , (World Publishing , Singapore) 1996. B. Gurel , M. Gurses and I. Habibullin.

57. Degenarate Svinolupov KdV Systems , Physics Letters 214A , 21-26 (1996). M. Gurses and A. Karasu.

1997

58. Boundary Conditions for Integrable Equations, Journal of Physics A: Mathematical and General, 30, 3505-3515 (1997) . V. Adler, B. Gurel , M. Gurses and I. Habibullin.

1998

59. Integrable Coupled KdV Systems , Journal of Mathematical Physics , 39, 2103-2111 (1998), (pdf file) . solv-int/9711015.ps, dvi and pdf files . M. Gurses and A. Karasu.

60. Sigma Models and Minimal Surfaces, Letters in Mathematical Physics, 44, 1-8 (1998). solv-int/9712018. ps, dvi and pdf files . M. Gurses.

61. Motion of Curves on Two Dimensional Surfaces and Soliton Equations, Physics Letters A, 241A, 329-334 (1998) ,. solv-int/9803001. ps, dvi and pdf files . M. Gurses.

62. Sources for the Majumdar-Papapetrou Space-times, Physical Review D, (D15, July), 58, 044001-1 (1998), ( pdf file ). gr-qc/9805002. ps, dvi and pdf files . M. Gürses.

63. Extremely Charged Static Dust Distributions in General Raltivity, a talk in ISMC98- International Seminar on Mathematical Cosmology, March 30- April 4, 1998. Potsdam-Germany. pp. 425-432, Ed. by , M. Rainer and H.J. Schmidt. . World Scientific, 1998. gr-qc/9806038. ps, dvi and pdf files . M. Gürses.

1999

64. Integrable KdV Systems: Recursion Operators of Degree Four, Physics Letters 251A,247-249 (1999) . solv-int/9811013. ps , dvi and pdf files . M. Gürses and A. Karasu.

65. On Construction of Recursion Operators from Lax Representation, Journal of Mathematical Physics, Vol. 40, 6473-6490 (1999), (pdf file) . solv-int/9909003. ps, dvi and pdf files . M. Gürses, A. Karasu, and V. Sokolov.

2000

66. Deformations of Surfaces Associated with Integrable Gauss-Meinardi-Codazzi Equations , Journal of Mathematical Physics , Vol. 41, 2251-2270 (2000), (pdf file) . Ö. Ceyhan, A.S. Fokas and M. Gürses

67. (1).Some Ricci flat pseudo-Riemannian Geometries, math.DG/0006041. ps, dvi, pdf files . M. Gürses.
(2). Sigma Models, Minimal Surfaces, and Some Ricci Flat pseudo Riemannian Geometries, in Geometry, Integrability and Quantization June 7-15, 2000, Varna , Bulgaria. Eds. I. M. Mladenov and G. L Naber. Coral Press Scientific Publishing ,(Sofia 2001), pp 171-180. M. Gürses. math.DG/0010081. ps , dvi , pdf files . ( pdf file)

2001

68. Recursion Operators of Some Equations of Hydrodynamic Type, nlin.SI/0007040. ps, dvi, pdf files . Journal of Mathematical Physics, 42, 1309-1325, (2001). , (pdf file) ,
M. Gürses and K. Zheltukhin.

69. Some Higher Dimensional Vacuum Solutions, gr-qc/0007068. ps, dvi, pdf files , Classical and Quantum Gravity, 18, 509-516 (2001)
M. Gürses and A. Karasu.

70. On the integrability of a class of Monge-Ampere Equations, Reviews in Mathematical Physics, Vol. 13, 529-543 (2001). hep-th/9906233. ps, dvi, pdf files .
J.C. Brunelli, M. Gürses and K. Zheltukhin.

71. Non Autonomous Svinolupov Jordan KdV Systems, nlin.SI/0101031. ps, dvi, pdf files . Journal of Physics A: Mathematical and General, 34, 5705-5711 (2001)
M. Gürses, A. Karasu and R. Turhan.

72. Soliton Yuzeyleri, ps.file . Türk Matematik Dernegi Ankara Subesi Etkinligi:
Yasayan Türkce Derlemeler No.1
(17 Mayis 2001, ODTÜ). M. Gürses.

2002

73. Some special integrable surfaces, in AMS-HKMS Meeting, a special section on integrable systems , December 13-16, 2000, Hong Kong. ps file . Journal of Nonlinear Mathematical Physics , Vol. 9, supplement 1, 59-66 (2002)
M . Gürses

74. Time-Dependent Recursion Operators and Symmetries, nlin/0108003.ps, dvi,pdf files , Journal of Nonlinear Mathematical Physics, Vol. 9, 210-228 (2002)
M.Gürses, A. Karasu and R. Turhan

75. Accelerated Charge Kerr-Schild Metrics in D- Dimensions, gr-qc/0203097, ps, dvi, pdf files
Classical and Quantum Gravity , Vol. 19, 4249-4261 (2002) . [ Corrigendum: Classical and Quantum Gravity, Vol. 20, 1413 (2003)]. M.Gürses and Ö. Sarioglu.

76. Higher Dimensional Metrics of Colliding Gravitational Plane Waves, gr-qc/0204041, ps,dvi,pdf files ,
Physical Review D , Vol. 66 , 024029 (2002) . M. Gürses, E.O. Kahya and A. Karasu.

2003

77. Accelerated Born-Infeld Metrics in Kerr-Schild Geometry, gr-qc/0207083, ps,dvi,pdf files
Classical and Quantum Gravity, Vol. 20, 351-358 (2003) , M.Gürses and Ö. Sarioglu.

78. Lienard-Wiechert Potentials in Even Dimensions, hep-th/0303078,ps,dvi, pdf files ,
Journal of Mathematical Physics, Vol. (44), 4672-4680 (2003) , (pdf file) , M.Gürses and Ö. Sarioglu.

79. Hamiltonian Equations in R^3, nlin.SI/0304002, ps, dvi, pdf files , Journal of Mathematical Physics,
Vol. 44, 5688-5705 (2003) , (pdf file) , Ahmet Ay, Metin Gürses and Konstantyn Zheltukhin

80. Higher Dimensional Bell-Szekeres Metric, gr-qc/0305105, ps, dvi, pdf files ,
Physical Review D, Vol. 68, 084007-1 (2003) . M. Gürses, Y. Ipekoglu, A. Karasu, and C. Senturk.

2004

81. Some Further Properties of the accelertaed Kerr-Schild Metrics, gr-qc/0303020,ps,dvi, pdf files ,
General Relativity and Gravitation, 36, 403 (2004) . M.Gürses and Ö. Sarioglu.

82. Poisson Structures in R^3, nlin.SI/0304057, ps, dvi, pdf files , in Fifth International Conference on
Geometry, Integrability and Quantization June 4-12, 2003, Varna , Bulgaria. Eds. I. M. Mladenov and A H. Hirsfeld.
SOFTEX, (Sofia 2004), pp 144-148. Metin Gürses and Konstantyn Zheltukhin

2005

83. Godel Type of Metrics in Various Dimensions, hep-th/0312290,ps,dvi, pdf files ,
Classical and Quantum Gravity, Vol. 22, 1527-1543 (2005) , M.Gürses , A. Karasu, and Ö. Sarioglu.

84. Multi Shell Model for Majumdar Papapetrau Spacetimes, hep-th/0505006,ps,dvi, pdf files ,
Physical Review D 72, 24032 (2005) M.Gürses and B. Himmetoglu.

85. Accelerated Levi-Civita-Betotti-Robinson Metric in D-Dimensions, gr-qc/0502035, ps, dvi, pdf files ,
General Relativity and Gravitation , vol. 37, 2015-2022 (2005) , Metin Gürses and Özgür Sarioglu

86. Godel Type of Metrics in Various Dimensions II: Inclusion of a Dilaton Field, hep-th/0505268,ps,dvi, pdf files ,
Classical and Quantum Gravity, Vol. 22, 4699-4713 (2005) , M.Gürses and Ö. Sarioglu.

87. Integrable Equations on Time Scales, nlin.SI/0507061,ps,dvi, pdf files ,
Journal of Mathematical Physics, Vol. 46, 113510 (2005) , (pdf file) . M.Gürses, Gusein Sh. Guseinov and Burcu Silindir.

2006

88. On a Transformation between the Hierarchies of Integrable Systems, nlin.SI/0505058, ps, dvi, pdf files ,
Physics Letters A, vol. 351,37-40 (2006) , Metin Gürses and Konstantyn Zheltukhin

89. KdV Surfaces, nlin.SI/0511049,ps,dvi, pdf files , M.Gürses and S. Tek

90. Closed timelike curves and geodesics of Godel-type metrics, gr-qc/0512037,ps,dvi, pdf files ,
Classical and Quantum Gravity, vol. 23, 2653-2663 (2006), R. J. Gleiser, M.Gürses A. Karasu and Ö. Sarioglu.

2007

91. Integrable Nonautonomous Nonlinear Schrodinger Equations, nlin.SI/0704.2435v2,ps,dvi, pdf files , M. Gurses

92. Integrable boundary value problems for elliptic type Toda lattice in a disk, nlin.SI/0706.0401v2,ps,dvi, pdf files ,
Journal of Mathematical Physics, vol. 48, 102702 (2007) , (pdf file) , M. Gurses, I. Habibullin and K. Zheltukhin

2008

93. Integrable discrete systems on R and related dispersionless systems, nlin.SI/0707.1084v1,ps,dvi, pdf files ,
Journal of Mathematical Physics, vol. 49, 072702 (2008) , (pdf file) , M. Blaszak, M. Gurses, B. Silindir, and B. Szablikowski.

94. Gauss-Bonnet Gravity with Scalar Field in Four Dimensions, Gen Relativ Gravit., vol. 40, 1825-1830 (2008)
gr-qc/0707.0347v4,ps,dvi, pdf files , Metin Gurses.

95. Hydrodynamic type of integrable equations on a segment and a half line, nlin.SI/0805.3828,ps,dvi, pdf files ,
Journal of Mathematical Physics, vol. 49, 102704 (2008) , (pdf file) , M. Gurses, I. Habibullin and K. Zheltukhin,

2009

96. Godel type metrics in Einstein-aether theory, Gen. Relativ. Grav.,vol.41, 31-38 (2009), (pdf file) .
gr-qc/0801.0516,ps,dvi, pdf files , Metin Gurses.

97. Bi-Presymplectic chains of of co-rank one and related Lioville integrable systems, Journal of Physics A: Mathematical
and Theoretical, vol. 42, 285204 (2009) M. Blaszak, M. Gurses, and K. Zheltukhin. (February 2009).

98. Dynamical Systems and Poisson Structures, Journal of Mathematical Physics, vol 50, 112703 (2009), (pdf file)
nonlin.SI/0903.2909,ps,dvi, pdf files , Metin Gurses, Gusein Sh. Guseinov, and Kostyantyn Zheltukhin.

2010

99. On Spacetimes with Given Kinematical Invariants: Constriction and Examples, in Godel-Type Spacetimes:
History and New Developments , (pdf file) . M. Gurses,M. Plaeu,M. Scherfner, T. Schonfeld, and L.A.M. Sousa.

100. Godel type metrics in three dimensions, General Relativity and Gravitation, Vol. 42,1413-1426 (2010) , ( pdf file),
gr-qc/0812.2576,ps,dvi, pdf files , Metin Gurses.

101. On Non-Commutative Integrable Burgers Equations, Journal of Nonlinear Mathematical Physics, Vol. 17, 1-6 (2010), (pdf file) .
nonlin.SI/0904.0901,ps,dvi, pdf files , M. Gurses, A. Karasu and R. Turhan

102. Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations,
Class. Quantum Grav. vol. 27, 205018(2010) (pdf file) . (Corrigendum: Class. Quantum Grav. vol. 29, 059501(2012)) (pdf file) .
gr-qc/1001.1039,ps,dvi, pdf files , Metin Gurses.

2011

103. AdS Waves as Exact Solutions to Quadratic Gravity, Phys. Rev. D83,084015 (2011), (pdf file) ,
hep-th/1102.1921,ps,dvi, pdf files , Ibrahim Gullu, Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

104. 2+1 KdV(N) Equations, Journal of Mathematical Physics, vol 52, 083516 (2011), (pdf file) ,
nonlin.SI/1102.5230,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

105. On a Particular Type of Product Manifolds and Shear-Free Cosmological Models, Class. Quantum Grav. vol. 28, 175009(2011) (pdf file) ,
[ (preprint pdf file) ]. M. Gurses, M. Plaeu, and M. Scherfner.

2012

106. Some Exact Solutions of all f(Ricci) Theories in Three Dimensions, Phys. Rev. D86,024001 (2012) (pdf file),
, hep-th/1112.6346,ps,dvi, pdf files , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

107. New Exact Solutions of Quadratic Curvature Gravity, Phys. Rev. D86,024009 (2012) (pdf file),
hep-th/1204.2215,ps,dvi, pdf files , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

108. Characteristic Lie rings of differential equations, Ufimsk. Mat. Zh. Vol. 4, Issue 1, 53-62 (2012), (pdf file in Russian) , pdf file of the preprint ,
Metin Gurses, Ismagil T. Habibullin and Anatoly V. Zhiber.

2013

109. Integrable Hierarchy of Multi-Component Kaup -Boussinesq Equations nlin.SI/1301.4075, ps. dvi, pdf files , M. Gurses.

110. Anti-de Sitter-Wave Solutions of Higher Derivative Theories, Physical Review Letters, vol. 111, 101101 (2013),
hep-th/1305.1565,ps,dvi, pdf files , Metin Gurses, Sigbjorn Hervik, Tahsin Cagri Sisman, and Bayram Tekin.

2014

111. Travelling Wave Solution of Degenerate Coupled KdV Equation, Journal of Mathematical Physics,Vol.55, 091501 (2014), pdf file ,
hep-th/1308.5649,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

112. Korteweg de Vries Surfaces, Nonlinear Analaysis: Theory, Method and Applications, vol.95, 11-22 (2014),
pdf file , Metin Gurses and Suleyman Tek.

113. Functionals on Closed 2-Surfaces, arXiv:1401.7192 [math.DG], ps. dvi, pdf files , M. Gurses.

114. AdS-plane wave and pp-wave solutions of generic gravity theories, , Phys. Rev. D90,124005 (2014) (pdf file),
hep-th/1407.5301v2,ps,dvi, pdf files , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

2015

115. . Gravity Waves in Three Dimensions, , Phys. Rev. D92, 084016 (2015) (pdf file) ,
hep-th/1509.03167v2,ps,dvi, pdf files , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

116. Functionals on Toroidal Surfaces, A Talk in XVI.th Conference on "Integrability, Geometry and Quantization,
Eds. I. Mladenov,A. Ludu and A. Yoshioda, June 5-11,2015, Varna. (pdf file),
Metin Gurses

117. Integrable Curves and Surfaces, A Talk in XVI.th Conference on "Integrability, Geometry and Quantization,
Eds. I. Mladenov,A. Ludu and A. Yoshioda, June 5-11,2015, Varna. (pdf file),
Metin Gurses and Suleyman Tek

118. Surfaces from Deformation of Parameters, A Talk in XVI.th Conference on "Integrability, Geometry and Quantization,
Eds. I. Mladenov,A. Ludu and A. Yoshioda, June 5-11,2015, Varna. (pdf file),
Metin Gurses and Suleyman Tek

2016

119. Travelling Wave Solutions of Degenerate Coupled Multi-KdV Equations, Journal of Mathematical Physics,Vol.57,103507 (2016) (pdf file)
hep-th/1506.02362,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

120. Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions, Gen. Relativ. Gravit., Vol. 48, No. 5, 1-14 (2016), (pdf file),
hep-th/1512.02028v1,ps,dvi, pdf files , Metin Gurses and Cetin Senturk.

121. From Smooth Curves to Universal Metrics, Phys. Rev. D94, 044041 (2016), (pdf file), hep-th/1603.09655v1,ps,dvi, pdf files ,
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

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2017

122. Kerr-Schild-Kundt Metrics are Universal,Class.Quantum Grav. Vol34,075003, (2017), (pdf file) , hep-th/1603.06524v1,ps,dvi, pdf files
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

123. Nonlocal Fordy-Kulish Equations on Symmetric Spaces, Physics Letters A 381, 1791-1794 (2017), (pdf file) hep-th/1702.03731,ps,dvi, pdf files Metin Gurses.

124. Nonlocal Super Integrable Equations , hep-th/1704.01273,ps,dvi, pdf files Metin Gurses.

2018

125 Nonlocal Nonlinear Schrodinger Equations and Their Soliton Solution\s, Journal of Mathematical Physics,Vol.59,051501 (2018) (pdf file) , hep-th/1707.07610,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

126 Integrable Nonlocal Reductions, "Symmetries, Differential Equations and Applications SDEA-III, Istanbul, Turkey, August 2017", Editors: Kac, V.G., Olver, P.J., Winternitz, P.,and T. Ozer, Springer Proceedings in Mathematics and Statistics, No:266, pp: 27-52 (2018), (pdf file) hep-th/1805.01695,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

127 Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory, Physical Review D 98, 126017 (2018), (pdf file), hep-th/1810.03411v1,ps,dvi, pdf files ,
Metin Gurses and Bayram Tekin.

2019

128 . Nonlocal Modified KdV Equations and Their Soliton Solutions,Communications in Nonlinear Science and Numerical Simulation, vol.67, 427-448 (2019) , (pdf file), hep-th/1711.01588,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

129 (2+1)-Dimensional Local and Nonlocal Reductions of the Negative AKNS System: Soliton Solutions, Communications in Nonlinear Science and Numerical Simulation, vol.71, 161-173 (2019) , (pdf file), hep-th/1808.00834,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

130. Null Aether Theory:pp-Wave and AdS Wave Solutions, Communications in Theoretical Physics, vol.71, 312-326 (2019) , (pdf file) hep-th/1604.02266v4,ps,dvi, pdf files, Metin Gurses and Cetin Senturk.

131 New Classes of Spherically Symmetric, Inhomogeneous Cosmological Models, Physical Review D 100, 065048 (2019), (pdf file) , hep-th/1905.04133,ps,dvi, pdf files, , M. Gurses and Yagoub heydarzade

132 Superposition of the Coupled NLS and MKdV Systems, Applied Mathematics Letters, vol.98, 157-163 (2019) ;(pdf file), hep-th/1906.00260,ps,dvi, pdf files, , M. Gurses and A. Pekcan

133. Non-Einsteinian Black Holes in Generic 3D Gravity Theories, Physical Reviw D 100,065053 (2019) , (pdf file) , hep-th/1907.03498v1,ps,dvi, pdf files Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

134 NAT Black Holes,The European Physical Journal C, vol.79, 942 (2019), (pdf file) , hep-th/1907.09584,ps,dvi, pdf files, , M. Gurses, Y. Heydarzade and C. Senturk.

135 (2+1)-Dimensional AKNS(-N) Systems: N=3,4., hep-th/1910.11298,ps,dvi, pdf files , Metin Gurses and Asli Pekcan.

2020

136 Discrete symmetries and nonlocal reductions, Physics Letters A, vol.384, 120065(2020) , (pdf file) hep-th/1906.10871,ps,dvi, pdf files, , M. Gurses, A. Pekcan and K. Zheltukhin.

137 Nonlocal Equations of Hydrodynamic Type, Communications in Nonlinear Science and Numerical Simulation, vol.85, 105242 (2020) , (pdf file), hep-th/1906.08475,ps,dvi, pdf files, , M. Gurses, A. Pekcan and K. Zheltukhin

138 Hirota bilinear forms of the AKNS(N) systems, hep-th/2001.11391,ps,dvi, pdf files, , M. Gurses, A. Pekcan

139 Superposition of FLRW Universes, Journal of Cosmology and Astroparticle Physics, vol.06, 060 (2020), hep-th/2002.00398,ps,dvi, pdf files, , M. Gurses,Y. Heydarzade and Bayram Tekin

140 Nonlocal KdV Equations, Phys.Lett A, vol.384, 126894(2020) , M. Gurses,A. Pekcan

141. Comment on "Eiinstein-Gauss-Bonnet Gravity in Four Dimensional Spacetime, Physical Reviw Letters, vol.125, 14900 (2019) , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

142 Is there a novel Einstein-Gauss-Bonnet theory in four dimensions? , Eur. Phys. J.C , vol.80, 647(2020) , Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin.

143 FLRW Cosmology in Generic Gravity Theories, Eur. Phys.J.C., vol.80, 1061 (2020), M. Gurses,Y. Heydarzade.

2021

144 2+1-dimensional AKNS(-N) systems II, Commun. Nonlinear Sci. Numer. Simulat.. vol. 92, 105736 (2021) , M. Gurses, A. Pekcan

145 Kerr-Schild-Kundt metrics in generic gravity theories with modified Horndeski couplings, European Physicsl Journal C, vol.81, 1147 (2021)
M. Gurses,Y. Heydarzade and C. Senturk.

2022

146 Kerr-Schild-Kundt metrics in generic Einstein-Maxwell theories, Phyical Review D 105, 044004 (2022), ( hep-th/2112.07736,ps,dvi, pdf files )
M. Gurses,Y. Heydarzade and C. Senturk.

147 Soliton Solutions of the shifted nonlocal AKNS and MKdV equations , Phys. Lett. A, vol. 422, 127793 (2022) , M. Gurses, A. Pekcan

Last updated January 2022