List of Publications

1 Nutku, Y., ``Post-Newtonian equations of hydrodynamics in the Brans-Dicke theory" Ap. J. 155 (1969) 999

2 Chandrasekhar, S. and Y. Nutku, ``The second post-Newtonian equations of hydrodynamics in general relativity" Ap. J. 158 (1969) 55

3 Nutku, Y., ``The energy-momentum complex in the Brans-Dicke theory" Ap. J. 158 (1969) 991

4 Matzner, R. A. and Y. Nutku, ``Stationary, axi-symmetric solutions of the Einstein field equations" Ap. J. 167 (1971) 149

5 Berger, B. K., D. M. Chitre, V. E. Moncrief and Y. Nutku, ``Hamiltonian formulation of spherically symmetric gravitational fields" Phys. Rev. D 5 (1972) 2467

6 Matzner, R. A. and Y. Nutku, ``On the method of virtual quanta and gravitational radiation" Proc. Roy. Soc. (London) A 336 (1974) 285

7 Nutku, Y., ``Geometry of dynamics in general relativity" Ann. Inst. H. Poincare A 21 (1974) 175

8 Chitre, D. M., R. Guven and Y. Nutku, ``Static, cylindrically symmetric solutions of the Einstein-Maxwell equations" J. Math. Phys. 16 (1975) 475

9 Eris, A. and Y. Nutku, ``Harmonic mappings of Riemannian manifolds and stationary vacuum spacetimes with whole cylinder symmetry" J. Math. Phys. 16 (1975) 1431

10 Ibrahim, A. and Y. Nutku, ``Generalized Einstein static universe" Gen. Rel. and Grav. 7 (1976) 949

11 Matzner, R. A. and Y. Nutku, ``Pair production by gravitational waves in the field of a black hole" Phys. Lett. A 60 (1977) 5

12 Nutku, Y. and M. Halil, ``Colliding impulsive gravitational waves" Phys. Rev. Lett. 39 (1977) 1379

13 Nutku, Y., ``Comment on `Collision of plane gravitational waves without singularities'" Phys. Rev. D 24 (1981) 1040

14 Gurses, M. and Y. Nutku, ``New nonlinear evolution equations from surface theory" J. Math. Phys. 22 (1981) 1393

15 Nutku, Y., ``The scattering of two Yang-Mills plane waves" J. Phys. A: Math. Gen. 16 (1983) L583

16 Nutku, Y., ``Canonical formulation of shallow water waves" J. Phys. A: Math. and Gen. 16 (1983) 4195

17 Nutku, Y., ``Hamiltonian formulation of the KdV equation" J. Math. Phys. 26 (1984) 2007

18 Nutku, Y., ``On a new class of completely integrable nonlinear wave equations, I: Infinitely many conserved quantities" J. Math. Phys. 26 (1985) 1237

19 Neyzi, F. and Y. Nutku, ``Canonical structures for dispersive waves in shallow water" J. Math. Phys. 28 (1987) 1499

20 Nutku, Y., ``On a new class of completely integrable nonlinear wave equations, II: Multi-Hamiltonian structure" J. Math. Phys. 28 (1987) 2579

21 Olver, P. J. and Y. Nutku, ``Hamiltonian structures for systems of hyperbolic conservation laws" J. Math. Phys. 29 (1988) 1610

22 Arik, M., F. Neyzi, Y. Nutku, P. J. Olver and J. M. Verosky, ``Multi-Hamiltonian structure of the Born-Infeld equation" J. Math. Phys. 30 (1989) 1338

23 Nutku, Y. and P. Baekler, ``Homogeneous, anisotropic three-manifolds of topologically massive gravity" Ann. Phys. (N.Y.) 195 (1989) 16

24 Nutku, Y. ``Hamiltonian structure of the Lotka-Volterra equations" Phys. Lett A 145 (1990) 27

25 Nutku, Y., ``Bi-Hamiltonian structure of the Kermack-McKendrick model for epidemics" J. Phys. A: Math. and Gen., 23 (1990) L1145

26 Gumral, H. and Y. Nutku, ``Multi-Hamiltonian structure of equations of hydrodynamic type " J. Math. Phys. 31 (1990) 2606

27 Nutku, Y. and O. Oguz, ``Bi-Hamiltonian structure of coupled KdV equations" Nuovo Cimento 105 B (1990) 1381

28 Nutku, Y., ``Spherical shock waves in general relativity" Phys. Rev. D 44 (1991) 3164

29 Nutku, Y. and R. Penrose, ``On impulsive gravitational waves" Twistor Newsletter 34 (1992) 9

30 Nutku, Y. and O. Sarioglu, ``An integrable family of Monge-Amp\`ere equations and their multi-Hamiltonian structure" Phys. Lett. A 173 (1993) 270

31 Nutku, Y. , ``Harmonic Map Formulation of Colliding Electrovac Plane Waves", in Directions in General Relativity, Papers in honor of Charles Misner B. L. Hu, M. P. Ryan Jr. and C. V. Vishveshwara editors Cambridge University Press 1993

32 Gumral, H. and Y. Nutku, ``Poisson structure of dynamical systems with three degrees of freedom", J. Math. Phys. 34 (1993) 5691

33 Nutku, Y. , ``Exact solutions of topologically massive gravity with a cosmological constant" Classical and Quantum Gravity 10 (1993) 2657

34 Gumral, H. and Y. Nutku, ``Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations", J. Phys. A: Math. and Gen. 27 (1994) 193

35 Mokhov, O. I. and Y. Nutku, ``Bianchi transformation between the real hyperbolic Monge-Ampere equation and the Born-Infeld equation" Lett. in Math. Phys. 32 (1994) 121

36 Ferapontov, E. V. and Y. Nutku, ``On the Monge-Ampere equivalent of the sine-Gordon equation", J. Phys. A: Math. and Gen. 27 (1994) 7831

37 Aliev A. N. and Y. Nutku, ``Spinor formulation of topologically massive gravity", Classical and Quantum Gravity 12 (1995) 2913

38 Aliev A. N. and Y. Nutku, ``A theorem on topologically massive gravity", Classical and Quantum Gravity 13 (1996) L 29

39 Nutku, Y., ``Hamiltonian structure of real Monge-Ampere equations", J. Phys. A 29 (1996) 3257

40 Nutku, Y., ``Gravitational Instantons and Minimal Surfaces", Phys. Rev. Lett. 77 (1996) 4702

41 Galvao, C. A. P. and Y. Nutku, ``Hamiltonian structure of Dubrovin's equation of associativity in 2-d topological field theory" J. Math. Phys. 37 (1996) 6012

42 Nutku, Y., M. B. Sheftel' and A. A. Malykh ``Gravitational Instantons", Classical and Quantum Gravity 14 (1997) L59

43 Kalayci, J. and Y. Nutku ``Bi-Hamiltonian structure of a WDVV equation in 2-d topological field theory" Phys. Lett. A 227 (1997) 177

44 Aliev, A. N., J. Kalayci and Y. Nutku ``General Minimal Surface Solution for Gravitational Instantons" Phys. Rev. D 56 (1997) 1332

45 Ferapontov, E. V., C. A. P. Galvao, O. I. Mokhov and Y. Nutku, ``Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory" Comm. Math. Phys. 186 (1997) 649

46 Kalayci, J. and Y. Nutku, ``Alternative bi-Hamiltonian structures for WDVV equations in 2-d topological field theory", J. Phys. A: Math. and Gen. 31 (1998) 723

47 Nutku, Y., M. B. Sheftel', A. A. Malykh and P. Winternitz ``Invariant Solutions to Complex Monge-Ampere Equation and Gravitational Instantons" Yadernaya Fisica 61 (1998) 1874

 48 Aliev, A. N. and Y. Nutku, ``Gravitational Instantons admit hyper-Kahler structure" Classical and Quantum Gravity 16 (1999) 189

 49 Aliev, A. N, J. Kalayci, M. Hortacsu and Y. Nutku, ``Gravitational instantons from minimal surfaces" Classical and Quantum Gravity 16 (1999) 631

50. Nutku, Y. ``Covariant symplectic structure of the complex Monge-Ampere equation" Physics Letters A 268 (2000) 293

51. Aliev, A. N., Y. Nutku and K. Saygili, ``Topologically massive magnetic monopoles", Classical and Quantum Gravity 17 (2000) 4111

52. Nutku Y. ``New symplectic structure for KdV"  in "Integrable Hierarchies and Modern Physics Theories, NATO ARW-UIC 2000" Editors H. Aratyn and A. Sorin. Kluver Academic Publishers Series II, Vol. 18 (2001)

53. Nutku Y. and M. B. Sheftel' ``Differential invariants and group foliation of complex Monge-Ampere equation" J. Phys. A: Math. and Gen. 34 (2001) 137

54. Gonera C. and Y. Nutku `` Superintegrable Calogero-type systems admit maximal number of Poisson structures" Physics Letters A 285 (2001) 301

55. Nutku Y. and M. B. Sheftel' ``Group foliation approach to the complex Monge-Ampere equation" Theor. Mat. Phys. 27 (2001) 808

56. Nutku, Y. and M. V. Pavlov ``Multi-Lagrangians for integrable systems" J. Math. Phys. (2002)

57. Nutku, Y. ``Quantization with maximally degenerate Poisson brackets: The harmonic oscillator!" J. Phys. A Math. Gen. 36 (2003) 7559

58. Malykh A. A., Y. Nutku and M. B. Sheftel ``Anti-self-dual Riemannian metrics without Killing vectors, are they realizable on K3? " Classical and Quantum Gravity 20 (2003) L263

59. Malykh A. A., Y. Nutku and M. B. Sheftel ``Partner symmetries of the complex Monge-Ampere equation yield hyper-Kahler metrics without continuous symmetries" J. Phys. A:Math. Gen. 36 (2003) 10023

60. Malykh A. A., Y. Nutku and M. B. Sheftel ``Partner symmetries and non-invariant solutions of four-dimensional heavenly equations" J.Phys. A37 (2004) 7527

Nutku Y. ``What is the present day status of the Copernican principle?"

61. Nutku, Y. ``Electrovac pp-waves" Classical and Quantum Gravity 22 (2005) L 43

62 Neyzi F, Y Nutku and M B Sheftel `` Multi-Hamiltonian structure of Plebanski's second heavenly equation" J. Phys. A: Math. Gen. 38 (2005) 8473