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Prof Igor Barashenkov

Publications

Igor Barashenkov's

Publications (1987-present)

  1. R. Herrero, I. V. Barashenkov, N. V. Alexeeva, and K. Staliunas. Anisotropic Subdiffractive Solitons. Chaos, Solitons and Fractals 44 1070 (2011)
  2. I.V. Barashenkov and E. V. Zemlyanaya. Travelling solitons in the externally driven nonlinear Schrödinger equation. Journ. Phys. A: Math. Theor. 44 465211 (2011)
  3. F. G. Mertens, N. R. Quintero, I. V. Barashenkov and A. R. Bishop. Refined empirical stability criterion for nonlinear Schrödinger solitons under spatiotemporal forcing. Phys. Rev. E 84 026614 (2011)
  4. I.V. Barashenkov, E. V. Zemlyanaya, T. C. van Heerden. Time-periodic solitons in a damped-driven nonlinear Schrödinger equation. Phys. Rev. E 83 056609 (2011)
  5. I.V. Barashenkov and E. V. Zemlyanaya. Soliton complexity in the damped-driven nonlinear Schrödinger equation: Stationary to periodic to quasiperiodic complexes. Phys. Rev. E 83 056610 (2011)
  6. I. V. Barashenkov and O. F. Oxtoby. Wobbling kink of the φ4; theory. Phys. Rev. E 80 026608 (2009)
  7. O. F. Oxtoby and I. V. Barashenkov. Resonantly driven wobbling kinks. Phys. Rev. E 80 026609 (2009)
  8. O. F. Oxtoby and I. V. Barashenkov. Asymptotic expansion of the wobbling kink. Theor. Math. Phys. 159, 527 (2009)
  9. I.V. Barashenkov and T.C. van Heerden. Exceptional Discretizations of the Sine-Gordon Equation. Phys. Rev. E 77, 036601 (1-9) (2008)
  10. S.R. Woodford and I.V. Barashenkov. Stability of the Bloch Wall via the Bogomolnyi Decomposition in Elliptic Coordinates. J. Phys. A: Math. Theor. 41, 165201 (2008)
  11. O.F. Oxtoby and I.V. Barashenkov. Moving Solitons in Discrete Nonlinear Schrödinger Equation. Phys. Rev. E 76, 036603 (1-18) (2007)
  12. I.V. Barashenkov, S.R. Woodford, and E.V. Zemlyanaya. Interactions of Parametrically Driven Dark Solitons. I: Née-Né and Bloch-Bloch interactions. Phys. Rev. E 75, 026604 (1-18) (2007)
  13. I.V. Barashenkov, and S.R. Woodford. Interactions of Parametrically Driven Dark Solitons. II: Néel-Bloch interactions. Phys. Rev. E 75, 026605 (1-14) (2007)
  14. O.F. Oxtoby, D.E. Pelinovsky, I.V. Barashenkov. Travelling kinks in discrete φ4 models. Nonlinearity 19, 217-235 (2006)
  15. I.V. Barashenkov, O.F. Oxtoby, D.E. Pelinovsky. Translationally invariant discrete kinks from one-dimensional maps. Phys. Rev. E 72, 035602(1-4) (2005)
  16. N. Olver and I.V. Barashenkov. Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane. Theor. Math. Phys. 144, 1223-1226 (2005)
  17. I.V. Barashenkov and S.R. Woodford. Complexes of Stationary Domain Walls in the Resonantly Forced Ginzburg-Landau Equation. Phys. Rev. E 71, 026613(1-10) (2005)
  18. R. Richter and I.V. Barashenkov. Two-dimensional Solitons on the Surface of Magnetic Fluids. Phys. Rev. Lett. 94, 184503-184507 (2005)
  19. E.V. Zemlyanaya, I.V. Barashenkov and S.R. Woodford. Parametrically Driven Dark Solitons: a Numerical Study. Lect. Notes in Computer Science, 3401, 590-597 (2005)
  20. E.V. Zemlyanaya and I.V. Barashenkov. Numerical Analysis of Travelling Solitons in Parametrically Driven, Damped Nonlinear Schroedinger Equation. Mathematical Modelling 17, 65-78 (2005)
  21. E.V. Zemlyanaya and I.V. Barashenkov. Numerical Study of Multisoliton Complexes in the Parametrically Driven Damped Nonlinear Schrödinger Equation. Mathematical Modelling 16, 3-14 (2004)
  22. I.V. Barashenkov and E.V. Zemlyanaya. Travelling solitons in the damped driven nonlinear Schrödinger equation. SIAM J. Applied Maths. 64, 800-818 (2004)
  23. I.V. Barashenkov, S. Cross and B.A. Malomed. Multistable Pulse-like Solutions in a Parametrically Driven Ginzburg-Landau Equation. Phys. Rev. E 68, 056605 (2003)
  24. I.V. Barashenkov, S. Woodford, and E.V. Zemlyanaya. Parametrically Driven Domain Walls. Prog. Theor. Phys. Supp. 150, 317 (2003)
  25. I.V. Barashenkov, S. Woodford, and E.V. Zemlianaya. Parametrically Driven Dark Solitons. Phys. Rev. Lett. 90, 54103 (2003)
  26. I.V. Barashenkov, V.S. Shchesnovich and R. Adams. Noncoaxial Multivortices in the Complex Sine-Gordon Theory on the Plane. Nonlinearity, 2002, 15, 2121-2146
  27. I.V. Barashenkov, N.V. Alexeeva, and E.V. Zemlyanaya. Radially symmetric oscillons in nonlinear Faraday resonance. Phys. Rev. Lett., 2002, 89, 104101
  28. B.Z. Essimbi and I.V. Barashenkov. Gap Soliton Modes in an Electrical Lattice. J. Phys. Soc. Jpn., 2002, 71, 2061-2066
  29. B.Z. Essimbi and I.V. Barashenkov. Spatially Localized Voltage Oscillations in an Electrical Lattice. J. Phys. D: Appl. Phys., 2002, 35, 1438-1441
  30. V.S. Schesnovich and I.V. Barashenkov. Soliton-Radiation Coupling in the Parametrically Driven Damped Nonlinear Schrödinger Solitons. Physica D, 2002, 164, 83-109
  31. B.Z. Essimbi and I.V. Barashenkov. Gap Soliton Excitations in a Bi-inductance Electrical Line. J. Phys. Soc. Jpn., 2002, 71, 448-452
  32. I.V. Barashenkov, E.V. Zemlyanaya and M. Bär. Travelling Solitons in the Parametrically Driven Nonlinear Schrödinger Equation. Phys. Rev. E, 2001, 64, 016603(1-12)
  33. N.V. Alexeeva, I.V. Barashenkov and G. Tsironis. Taming spatiotemporal chaos by impurities in the parametrically driven damped nonlinear Schrödinger equation. Journ. Nonlinear Math. Phys., 2001, 8, 5-12
  34. N.V. Alexeeva, I.V. Barashenkov and G. Tsironis. Impurity-induced Stabilization of Solitons in Arrays of Parametrically Driven Nonlinear Oscillators. Phys. Rev. Lett. 2000, 84, 3053-3056
  35. I.V. Barashenkov and E.V. Zemlyanaya. Oscillatory Instabilities of Gap Solitons in Optical Fibers: A Numerical Study. Computer Phys. Commun. 2000, 126, 22-27
  36. I.V. Barashenkov and E.V. Zemlyanaya. Stable Complexes of Parametrically Driven, Damped Nonlinear Schrödinger Solitons. Phys. Rev. Lett. 1999, 83, 2568
  37. I.V. Barashenkov and Yu.S. Smirnov. Study of Collective States of Externally Driven, Damped Nonlinear Schrödinger Solitons. Physics of Atomic Nuclei 1999, 62, 1605
  38. I.V. Barashenkov and E.V. Zemlyanaya, Existence Threshold of the AC-driven, Damped Nonlinear Schrödinger solitons. Physica D 1999, 132, 363-373
  39. N.V. Alexeeva, I.V. Barashenkov and D.E. Pelinovsky. Dynamics of the Parametrically Driven NLS Solitons Beyond the Onset of the Oscillatory Instability. Nonlinearity 1999, 12, 103-140
  40. I.V. Barashenkov and D.E. Pelinovsky. Exact Vortex Solutions of the Complex Sine-Gordon Theory on the Plane. Phys. Lett. 1998, B 436, 117-124
  41. I.V. Barashenkov, D.E. Pelinovsky, and E.V. Zemlianaya. Vibrations and Oscillatory Instabilities of Gap Solitons. Phys. Rev. Lett. 1998, 80, 5117-5120
  42. I.V. Barashenkov, Yu.S. Smirnov and N.V. Alexeeva. Bifurcation of Stationary Solutions and Soliton Bound States in the AC-driven, Damped Nonlinear Schrödinger Equation. Phys. Rev. E 1998, 57, 2350-2364
  43. I.V. Barashenkov. Stability Criterion for Dark Solitons. Phys. Rev. Lett. 1996, 77, 1193-1196
  44. I.V. Barashenkov and Yu.S. Smirnov. Existence and Stability Chart for the AC-Driven, Damped Nonlinear Schrödinger Equation. Phys. Rev. E 1996, 54, 5707-5725
  45. I.V. Barashenkov and A.O. Harin. Topological Excitations in a Condensate of Nonrelativistic Bosons Coupled to Maxwell and Chern-Simons Fields. Phys. Rev. D 1995, 52, 2471-2483
  46. M. Bondila, I.V. Barashenkov and M.M. Bogdan. Topography of Attractors of the Parametrically Driven Nonlinear Schrödinger Equation. Physica D 1995, 87, 314-320
  47. I.V. Barashenkov and A.O. Harin. Nonrelativistic Chern-Simons Theory for the Repulsive Bose Gas. Phys.~Rev.~Lett. 1994, 72, 1575-1579
  48. I.V. Barashenkov and A.O. Harin. The Gauged Nonlinear Schrödinger Equation on the Plane: A Regularized Model with Vortex Solutions. JINR Rapid Communications 1994, 61, 70-75
  49. I.V. Barashenkov, B.S. Getmanov, and V.E. Kovtun. The Unified Approach to Integrable Relativistic Equations: Soliton Solutions over the Non-vanishing Background. I. Journ. Math. Phys. 1993, 34, 3039-3053
  50. I.V. Barashenkov and B.S. Getmanov. The Unified Approach to Integrable Relativistic Equations: Soliton Solutions over the Non-vanishing Background. II. Journ. Math. Phys. 1993, 34, 3054-3072
  51. I.V. Barashenkov and E.Yu. Panova. Stability and Evolution of the Quiescent and Travelling Solitonic Bubbles. Physica D 1993, 69, 114-134
  52. I.V. Barashenkov, M.M. Bogdan, and V.I. Korobov. Stability Diagram for the Phase-locked Soliton of the Parametrically Driven, Damped Nonlinear Schrödinger Equation. Europhys. Lett. 1991, 15, 113-118
  53. I.V. Barashenkov and V.G. Makhankov. Comment on the Soliton Solutions of (1+3)- dimensional Real φ6 Theory at Finite Temperature. Phys. Lett. 1991, A158, 96-97
  54. I.V. Barashenkov et.al. Stability of the Soliton-like Bubbles. Physica D 1989, 34, 240-254
  55. I.V. Barashenkov et.al. Stability of Moving Bubbles in a System of Interacting Bosons. Phys. Lett. 1989, A135, 125-128
  56. I.V. Barashenkov and V.G. Makhankov. Soliton-like Bubbles in the System of Interacting Bosons. Phys. Lett. 1988, A128, 52-56
  57. I.V. Barashenkov, B.S. Getmanov, and V.E. Kovtun. Integrable Model with Nontrivial Interaction between Sub- and Superluminal Solitons. Phys. Lett. 1988, A128, 182-186
  58. I.V. Barashenkov, B.S. Getmanov, and V.E. Kovtun. An Exactly Solvable Field Theoretic Model with Tachyons. Sov. J. Nucl. Phys. 1988, 48, 565-566
  59. I.V. Barashenkov and B.S. Getmanov. Multisoliton Solutions in the Scheme for Unified Description of Integrable Massive Fields. Commun. Math. Phys. 1987, 112, 423-446
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