LIST OF PUBLICATIONS

 

Oktay K. Pashaev

 

 

BOOKS

 

1. ''Integrable Pseudospin Models in Condensed Matter"

(with V. G. Makhankov), Soviet Scientific Reviews, Section C.

Mathematical Physics Reviews,

ed. S. P. Novikov, vol.9, part 3. Harwood Academic Publishers GmbH,

London, 1992, 152 pages.

 

BOOKS (Invited Editor)

 

1. ''Solitons and Applications ".

The Fourth International Workshop dedicated to N. N. Bogolubov

on his eightieth birthday, (Dubna, 1989), and

the All-Union Seminar on Nonintegrable systems, (Dubna, 1989);

Edited by V. G. Makhankov, V. K. Fedyanin and O. K. Pashaev,

World Scientific Pub., Singapore, 1990, 437 pages.

 

2. ''Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 90".

The Sixth International Workshop, (Dubna, 1990),

Edited by V. G. Makhankov and O. K. Pashaev. Springer Verlag, 1991,

240 pages.

 

3. ''Nonlinear Evolution Equations and Dynamical Systems. NEEDS'92"

The Eight International Workshop, (Dubna, 1992), Edited by

V. Makhankov, I. Puzynin and O. Pashaev. World Scientific Pub.,

Singapore, 1993, 486 pages.

 

 

PAPERS IN REFEREED JOURNALS AND PROCEEDINGS

 

{1978}

 

1. ''On  the  fermion  contribution to instantons"

(with V. Ja. Fainberg), Phys.Lett. B77 , N 2, (1978), 208-210.

 

{1981}

 

2. ''On the integrability  and isotopic structure of the

one-dimensional Hubbard Model in the   long  wave  approximation"

(with V. G. Makhankov and N. V. Makhaldiani) , Phys. Lett. A81,

N2,3, (1981), 161-164.

 

{1982}

 

3. ''A new integrable model of quantum field theory

in the state space with indefinite metric"

(with V. G. Makhankov), Phys.Lett. A89, (1982), 218-222.

 

4. ''Nonlinear  Schr\"odinger  Equation  with  non-compact  isogroup"

 (with V. G. Makhankov)   Theor. Math. Phys. 53 (1982) 55-67.

 

{1983}

 

5. ''On the gauge equivaence of the Landau-Lifshitz and the

Nonlinear Schr\"odinger Equations on symmetric spaces"

(with V. G. Makhankov), Phys.Lett. A95, N 2, 1983, 95-100.

 

6. ''Comments on  the  gauge  equivalence  between  Heisenberg spin

chains with single-site anysotropy  and Nonlinear  Schr\"odinger

equations" (with A. Kundu), J.Phys.C: Solid State Phys.

vol. 16, (1983), L585-.

 

7. ''Integrable models of  QFT  in  the  state  space with  indefinite Metric"

(with V G Makhankov) ''Group  Theoretical  Methods  in Physics",

Vol.1-3,(Zvenigorod, 1982), Nauka,

Moscow, (1983) , vol.II, p.349-356; and Harwood Academic Publ. (1985), 407-414.

 

8. ''Nonlinear Evolution Equations and Dynamics of Quasi spin Systems"

Ph.D. Tesis, 2-83-230, Dubna, 1983.

 

9. ''Integrable  reductions  of  many  component  magnetic  systems"

(with A. Kundu and V. Makhankov),

Physica Scripta, vol.28, N 2, 1983 , p.229-.

 

10. ''Coloured" solitons in a stable medium"

(with V. G. Makhankov and S. A. Sergeenkov ) Phys. Lett.

A98 (1983) 227-232.

{1984}

 

11. ''Hole - like  excitations  in  many  component systems"

(with   V. G. Makhankov and S. A. Sergeenkov),

Physica Scripta, vol.29, N6, (1984), 521-525.

 

{1985}

 

12. ''On nonlinear effects  in  magnetic chains"

(with A. Kundu and V. G. Makhankov),

Physica D16, (1985), p.276-.

 

13. ''Bose Gas Models with Noncompact Symmetry Groups"

(with V. Makhankov  and S. A. Sergeenkov), III International

Symposium on Selected Topics in Statistical Mechanics, (Dubna,

1984), D17-84-850, vol.II, 45-52, {Dubna}, 1985.

 

14. ''Dynamical symmetry and spin waves of isotropic antiferromagnet"

(with V . G . Makhankov and S. A. Sergeenkov),

JINR Rapid Communications, N 10-85, Dubna, (1985) , 45-52.

 

{1986}

 

15. ''Particle-like  excitations   in   many   component magnon-phonon systems"

(with  R. Myrzakulov and Kh. T. Kholmurodov), Physica Scripta, vol. 33,

N 4, (1986), p. 378-.

 

16. ''Nonlinear Integrable Models with a Noncompact Group in the Theory of a Weakly Nonideal Bose Gas "

(with V.G.Makhankov), Group-theoretic Methods in Physics,

Vol.1, (Yurmala, 1985), 346-355, Nauka, Moscow, 1986.

 

17. ''Nonlinear $\sigma$  models with noncompact symmetry group in the theory of a nearly ideal Bose gas " (with S. A. Sergeenkov),

Physica A 137, (1986), N1-2, 282-294.

 

{1988}

 

18.  ''Soliton diffraction in a nonlinear defocusing medium "

(with F. Kh. Khakimov and Kh. T. Kholmurodov) ,

Tadjic SSR Acad. Sci. Izwestiya, Sect. Phys. \& Math., N 1 (107), (1988), 69-71.

 

{1989}

 

19. ''Threshold  of  KdV soliton production"

(with Kh. Kholmurodov and V. Makankov) , Physica Scripta,

vol. 39, (1989), p. 9-.

 

20. ''Gauge  equivalence, supersymmetry  and   classical   solutions of OSPU( 1,1 / 1) Heisenberg model and Nonlinear Schr\"odinger equation"

(with V. G. Makhankov and R. Myrzakulov), Lett. Math. Phys.

16, (1988), N1,  83-92.

 

21. ''Noncompact  magnets  and  the Bogolyubov condensate"

(with V. Makhankov), Acad Sci USSR Dokladi , vol. 301 , N 6 , (1988),  1356-1361 ; transl. in

Soviet Phys. Dokl. 33(8), August 1988, 585-587.

 

{1989}

 

22. ''Supersymmetric  integrable SU(2/1) Heisenberg models"

(with V. G. Makhankov), Phys.Lett. A141, N 5,6, (1989),

 285-288.

 

23. ''Supersymmetric Integrable Heisenberg Models"

(with V. G. Makhankov), Nonlinear World. The IV Intern.

Workshop on Nonlinear and Turbulent  Processes  in  Physics, (Kiev,

1989), Eds. A. G. Sitenko, V. E. Zakharov & V. M. Chernousenko, Naukova

Dumka, Kiev (1989), vol.2, p. 47-.

 

{1990}

 

24. ''Integrable Classical Heisenberg Models on SU(N/M) Superalgebras"

JINR  P17-89-146, Group Representations in Physics, (Tambov, 1989), ed. M. A. Markov, M. 1990.

 

25. ''Integrable Classical Heisenberg Models on Superalgebra SPL(2/1)"

(with V Makhankov) "Solitons and Applications", (Dubna, 1989), 31-66,

Eds.V. G. Makhankov, V. K. Fedyanin and O. K. Pashaev, World Scientific Pub., Singapore, 1990.

 

{1991}

 

26. ''Dynamics of multidimensional  solitons "

(with M Boiti , L Martina and F Pempinelli) , Phys. Lett.

A160 , (1991), 55-63.

 

27. ''New Soliton Solutions for the Davey-Stewartson  Equation".

(with F.Pempinelli at al.), ''Nonlinear  Dynamics:

Solitons and Chaos", ( Brussels, 1990), p. 312-, Eds. I. Antoniou and  F.

Lambert, Springer Verlag, Berlin, 1991.

 

28. ''Sixth Workshop on Nonlinear Evolution Equations and  Dynamical

Systems ( NEEDS' 90 )" (with F Calogero and V Makhankov), Inverse

Problems, 7 ,1991 ,p.167-.

 

29. ''Integrable N < O Component Nonlinear Schr\"odinger Model,

Phase Transitions and Supersymmery",

"Nonlinear Evolution Equations and Dynamical Systems ",

Proc.of the VI Workshop}, (Dubna, 1990), 8-11, Eds. V.G. Makhankov and O. K.

Pashaev, Springer Verlag, Berlin, 1991.

 

30. ''Integrable Supersymmetric Models and Phase Transitions in One Dimension"

"Nonlinear  Dynamics: Solitons and Chaos",

(Brussels, 1990), p. 111-,

Eds. I. Antoniou and F. Lambert , Springer Verlag, Berlin, 1991.

 

{1992}

 

31. ''Continual classical Heisenberg models defined on graded SU(2,1) and SU(3) algebras",

(with V.G.Makhankov), J.Math.Phys. 33, (1992), 2923 -2936.

 

32. ''Supersymmetric Heisenberg Models",

The VII Workshop on Nonlinear Evolution Equations and Dynamical Systems, (Baia Verde, 1991), Italy, p. 171-183,

Eds. M.Boiti, L.Martina and F.Pempinelli, World Scientific Publ.,

Singapore, 1992.

 

33. ''Interaction of Real and Virtual Multi dimensional Solitons",

(with M.Boiti, L.Martina and F.Pempinelli) ,

Nonlinear Evolution Equations

and Dynamical Systems. NEEDS'91, (Baia Verde, 1991), 12-21,

Eds. M. Boiti, L.Martina and F.Pempinelli, World Scientific Publ.,

Berlin, 1992.

 

34. ''Real and Virtual Multidimensional Solitons"

(with M. Boiti, L. Martina and F. Pempinelli) ,

''Nonlinear Processes in Physics", (Potsdam, USA, 1991), p.77-,

Eds. A. S. Fokas, D. J. Kaup, A. C. Newell and V. E. Zakharov, Springer-Verlag, Berlin,1992.

 

{1993}

 

35. ''Anyons in planar ferromagnet"

(with L Martina and G Soliani), Seminar on Quantum Groups, (Florence, 1993), e-Proc. Florence University.

 

36. ''Self-Dual Chern-Simons solitons in nonlinear sigma models",

(with L. Martina and G. Soliani),

Modern Phys. Lett. A8, (1993), 3241-3250.

 

37. ''Chern-Simons gauge theory of 2-Dimensional ferromagnet"

(with L.Martina and G.Soliani) ,

Phys. Rev. B48, (1993) 15787-15791.

 

38. ''Multidimensional   Topological   Magnetics   admitting Bilinear Representation"

(with L.Martina and G.Soliani)

''Nonlinear Evolution Equations and Dynamical Systems. NEEDS' 92"

The  VIII Workshop, (Dubna, 1992), p. 84-97, Eds.

V. Makhankov , I. Puzynin and O. Pashaev,

World Scientific Pub., Singapure, 1993.

 

{1994}

 

39. ''Bilinearization of multidimensional topological magnetics"

(with L. Martina and G. Soliani), J.Phys.A: Math.Gen. 27, N3, (1994), 943-954.

 

40. ''Static vortex solutions and singular auxiliary field in the Ishimori model"

(with L.Martina and G.Soliani) ,

Inverse Problems, 10, (1994), L7-L10.

 

41. ''On topological soliton dynamics in multidimensional ferromagnetic continuum"

(with L Martina and G Soliani) ,

Theoret. Mat. Fiz. 99, N3, (1994), 462-470; trans. in

Theoret. and Math. Phys. 99 (1994) 726-732.

 

42. ''Quantization of planar ferromagnets in the Chern-Simons representation"

(with L Martina and G Soliani) ,

Theoret. Mat. Fiz. 99, N3, (1994), p.450-461; trans. in

Theoret. and Math. Phys. 99 (1994) 718-725.

 

{1995}

 

43. ''Chern-Simons Quantum Field Representation of Planar Ferromagnets"

(with L Martina and G Soliani) , Conference Proceedings Vol. 48

''National Workshop on Nonlinear Dynamics", p.105-, Eds. M. Costato, A. Degasperis and M. Milani, SIF Bologna 1995.

 

44. ''Chern-Simons-Witten Topological Field Theory and Integrable Models"

(with L.Martina and G.Soliani) ,

''Symmetry Methods in Physics" . The VII Int. Conf.}, Eds.

A.N. Sissakian and G.S. Pogosyan,

JINR, Dubna, 1995, vol.2, p.396-.

 

{1996}

 

45. ''Integrable Chern-Simons gauge field theory in 2 + 1 dimensions",

Mod. Phys. Lett. A11 (1996) 1713-1728.

 

46. ''Chern-Simons Gauge Field Theory with Integrable Dynamics in 2+1  Dimensions".

''Nonlinear Physics. Theory and Experiment", (Lecce, 1995),

445-453, World Scientific Publ. NJ, 1996.

 

47. ''Integrable Models and Topological Field Theory"

(with L Martina and G Soliani)

''Nonlinear Physics. Theory and Experiment", (Lecce, 1995),

412-420, World Scientific Publ. NJ, 1996.

 

48. ''The Lax pair by dimensional reduction of Chern-Simons gauge theory",

J. Math. Phys., 37 (1996) 4368-4387.

 

49. ''Dissipation and topologically massive gauge theories in pseudo - Euclidean  plane"

(with M. Blasone, E. Graziano and G. Vitiello)  Ann.Phys (NY) 252 (1996) 115-132.

 

50. ''Chern - Simons field theory and completely integrable systems"

(with L. Martina and G. Soliani) , Phys.Lett. B 378 (1996) 175-.

 

{1997}

 

51. ''Topological field theories and integrable models"

(with L Martina and G Soliani), J. Math. Phys. 38 (1997) 1397-1412.

 

52. ''Integrable hierarchy from Topological Gauge Theory",

(with J.-H. Lee) , Intern. J. Modern Physics A12 (1997) 213-218.

 

53. ''Integrable models as constrained topological gauge theory",

Nuclear Physics B, (Proc. Suppl) 57 (1997) 338-341.

 

54. ''Integrable dissipative structures in gauge theory of gravity "

(with L. Martina and G. Soliani), Classical Quantum Gravity,

14 (1997) 3179-3186.

 

{1998}

 

55. ''Moving frames hierarchy and BF theory"

(with J.-H.Lee)

J. Math. Phys., 39 (1998) 102-123.

 

56. ''SU(1,1) Quantum Dissipation and Topologically Massive Gauge Theories",

(with M. Blasone and G. Vitiello),

The 5th Wigner Symposium, (Vienna, 1997), Eds. P. Kasperkovitz

and D. Grau, World Scientific Pub., Singapore, 1998, p.165-167.

 

57. ''Integrable Hierarchy of Reaction-Diffusion Systems",

The International Workshop on Differential

Equations and Scientific Computations, Eds. J.-S. Guo and Y.-J. Lin Guo,

Taipei, 1998, p.

 

58. ''Bright solitons as Black Holes",

(with L. Martina and G. Soliani), Phys. Rev. D, 58 (1998) 084025.

 

{1999}

 

59. ''Dissipative and topological solitons resonance interaction in RD and AdS Heisenberg models",

(with J.-H. Lee), The Seventh Workshop on Differential Equations and its Applications, Ed. C.-S. Chien, Taichung, 1999, p. 112-117.

 

{2000}

 

60. ''Chern-Simons solitons in quantum potential",

(with J.-H.Lee ) , 

Chaos, solitons and fractals, 11 (14)(2000) 2079-2089 .

 

61. ''Equivalence relation and bilinear representation for Derivative

Nonlinear Schr\"odinger type equations",

(with J.-H. Lee and C.-K. Lin), Nonlinearity, Integrability and all that. Twenty years after NEEDS'79, World Scientific Pub.,

Singapore, 2000, 175-181.

 

62. ''Integrability and quantum potential. From dissipatons to exponentially localized Chern-Simons solitons",

(with J.-H. Lee), Nonlinearity, Integrability and all that. Twenty years after NEEDS'79, World Scientific Pub., Singapore, 2000, 497-503.

 

 

(2001)

 

63. ''Soliton resonances, black holes and Madelung fluid",

(with J.-H. Lee),

J. Nonlinear Mathematical Physics, Vol. 8, Suppl., 2001, 230-234.

 

64. ''Self-dual Chern-Simons solitons and quantum potential",

(with J.-H. Lee),

J. Nonlinear Mathematical Physics, Vol. 8, Suppl., 2001, 225-229.

 

65. ''Self-dual Vortices in Chern-Simons Hydrodynamics”,  , (with J.-H. Lee), Theoretical and Mathematical Physics, Vol. 127, N 3 (2001) 779-788.

 

 

 

(2002)

 

66. ''Black Holes and Solitons of the Quantized Dispersionless NLS and DNLS equations",

(with J.-H. Lee),

ANZIAM Journal, Australian Mathematical Society, Vol. 44, 2002, 73-81.

 

67. ''Resonance solitons as Black Holes in Madelung Fluid",

(with J.-H. Lee),

Modern Physics Letters A, Vol. 17, N 24,  2002, 1601-1619.

 

(2003)

 

 

68. ''Bilinear representation for the modified Nonlinear Schrodinger Equations and their Quantum Potential deformations",

(with J.-H. Lee),

Nonlinear Physics: Theory and Experiment. II , World Scientific Pub.,

Singapore, 2003, 79-82.

 

 

68. ''Noncommutative Burgers Equations",

(with L. Martina),

Nonlinear Physics: Theory and Experiment. II , World Scientific Pub.,

Singapore, 2003, 83-88.

 

 

 

COMMUNICATIONS AND REPORTS

 

 

1. ''Classical  solutions  and  hidden  symmetry  of the Boson-Fermion

system", JINR  P2-80-16 (in Russian), Dubna 1980.

 

2. ''On properties of the Nonlinear Schr\"odinger equation

with U(p,q) internal symmetry"

(with V. G. Makhankov), JINR E2-81-70, Dubna 1981.

 

3. ''Nonlinear  Schr\"odinger Equation  with U(p,q) Isogroup"

Part I, {General Analysis}.

(with V. G. Makhankov), JINR E2-81-264, Dubna.

 

4. ''Nonlinear Schr\"odinger Equation with U(p,q) Isotopical Group"

Part II, {The U(1,1) System}.

(with V. G. Makhankov), JINR E2-81-540, Dubna, 1981.

 

5. ''Solitons in N = 4 Extended Supergravity"

(with V. G. Makhankov) , JINR E2-82-506, Dubna 1982.

 

6. ''U(p,q) NLSE with Nontrivial Boundary Conditions.

Scalar U(0,1) Case" (with V. G. Makhankov and S. A. Sergeenkov),

Commun. of JINR P2-83-186, Dubna, 1983.

 

7. ''Hamiltonian Structure  of U(p,q) NLSE with  Nontrivial

Boundary Conditions"

(with S. A. Sergeenkov), Comm. JINR P2-83-377, Dubna, 1983.

 

8. ''On Interaction Between Solitons in the  Model  of

Organic  Charge Transfer Salts"

(with V. K. Fedyanin at al.), JINR E17-83-755, Dubna, 1983.

 

9. ''Nonlinear Integrable Models with a Noncompact Group

in the Theory of  Near Ideal Bose Gas"

with (V. G. Makhankov and S. A. Sergeenkov), Comm. JINR  R2-84-513, 11pp.

Dubna,  1984.

 

10. ''Solitons Formation Process in the Decay of Zero-Area Pulses

in the Framework of the KdV Equation". Theory

(with Kh. T. Kholmurodov and V. G. Makhankov), Commun.JINR

 P5-85-562, Dubna 1985.

 

11. ''Solitons Formation Process in the Decay of Zero-Area Pulses

in the Framework of the KdV  Equation". Computer experiment

(with Kh. T. Kholmurodov and V . G . Makhankov), Commn. JINR P5-85-561,

Dubna 1985.

 

12. ''Noncompact Symmetry Groups in the Theory

of a Weakly Nonideal Bose-Gas"

(with V. G. Makhankov) , Commun. JINR P17-85-565, Dubna, 1985.

 

13. ''Noncompact Magneets, Bogolubov's Condensat

and the Lattice Bose Gas".

(with V. G. Makhankov), Talk at the Meeting

Theory  of  Soitons and Applications,

Yurmala Nov.1986; JINR P2-86-754.

 

14. ''Continual Heisenberg  Models

defined on Graded SU(3) and SU(2,1) Algebras"

(with V. G. Makhankov),  Commun. JINR E17-88-517, Dubna 1988.

 

15. ''Vortex Dynamics of Ishimori Magnetic Models"

(with S.Lima Montenegro) , Commun.JINR , Dubna, 1992.

 

16. ''Abelian Gauge Theory and Integrable sigma models",

(with J.-H.Lee) MIAS 97-3, (1997)

 

17. ''Gauge Symmetry and Integrable Models", (with H.-S. Lin

and S.-S.Roan), MSRI N 1997 - 088, Berkeley, CA, 1997;

E-print hep-th/9709073.

 

LECTURE NOTES

 

1. ''Multicomponent and Multidimensional Solitons"

Lectures Notes, Institute of Mathematics, Academia Sinica, Taipei,

Taiwan, 1993.

 

2. ''Topological Field Theory and Integrable Models"

Lecture Notes, Joint Institute for Nuclear Research (Dubna) and Institute

of Mathematics, Academia Sinica, (Taipei), 1996-1997.

 

3. ''Lectures on Soliton Theory and Applications"

Lecture Notes, National Taiwan University, (Taipei), 1999-2000 (in preparation).

 

4. ''Abelian Gauge Theory and Integrable $\sigma$ models", (With Lecture Notes on Elementary Soliton Theory by O. K. Pashaev), (with J.-H. Lee),

Lecture Notes, Institute of Mathematics, Academia Sinica, Taipei, Taiwan,

2000.

SUBMITTED OR IN PREPARATION

 

 

 

1. ''Travelling Wave Topological Soliton and Event Horizon of

AdS Heisen berg Model",

 

2. ''Dissipative and Envelope Solitons Equivalence Relations",

(with J.-H. Lee and C.-K. Lin),

 

3. ''Dissipative Solitons - New Class of Particle-Like Solutions,

Their Interactions and Resonances", (with J.-H. Lee),

Preprint MIAS 98-1.

 

4. ''Integrability and quantum potential" (with J.-H. Lee),

 

5. ''Derivative NLS solitons in quantum potential"