Publications of Vadym Vekslerchik
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Index Data Research Publications
  1. Vadym Vekslerchik.
    Functional Representation of the Volterra Hierarchy.
    J. Nonlin. Math. Phys. 12, 409-431 (2005).
    pdf   nlin.SI/0410003
  2. Vadym Vekslerchik.
    Backlund transformations for the Nizhnik-Novikov-Veselov equation.
    J.Phys.A: Mathematical and General 37, 5667-5678 (2004).
    pdf   nlin.SI/0404040
  3. Lucian-Cornel Crasovan, Vadym Vekslerchik, Víctor M. Pérez-García, Juan P. Torres, Dumitru Mihalache, and Lluis Torner.
    Stable vortex dipoles in nonrotating Bose-Einstein condensates.
    Phys.Rev.A 68 ,art. no 063609 (2003)
  4. Victor M. Perez-Garcia and Vadym Vekslerchik.
    Soliton molecules in trapped vector nonlinear Schrodinger systems.
    Phys. Rev. E 67, 061804 (2003).
    nlin.PS/0209036
  5. Pritula G.M. and Vekslerchik V.E.
    Stationary structures in two-dimensional Heisenberg ferromagnets.
    J. Nonlin. Math. Phys. 10, 256-281 (2003).
    nlin.SI/0009043
  6. Vadym Vekslerchik and Victor M. Perez-Garcia.
    Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates.
    Discrete and Continuous Dynamical Systems B, 3, 179-192 (2003).
    pdf   cond-mat/0106535
  7. Pritula G.M. and Vekslerchik V.E.
    Negative Volterra flows.
    J.Phys.A: Mathematical and General, 36, 213-226 (2003).
    pdf   nlin.SI/0302030
  8. Pritula G.M. and Vekslerchik V.E.
    Conservation laws for the nonlinear Schrodinger equation in Miwa variables.
    Inverse Problems. 18, 1355-1360 (2002).
    nlin.SI/0008034
  9. Vekslerchik V.E.
    Functional representation of the Ablowitz-Ladik hierarchy.II.
    J. Nonlin. Math. Phys., 9, 157-180 (2002).
    pdf   solv-int/9812020
  10. Juan J. Garcia-Ripoll, Victor M. Perez-Garcia, and Vadym Vekslerchik.
    Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrodinger equations.
    Physical Review E, 64, 056602 (2001).
    pdf   cond-mat/0106487
  11. Vekslerchik V.E.
    Finite genus solutions for the Ablowitz-Ladik hierarchy.
    J. Phys. A: Mathematical and General, 32, 4983-4994 (1999).
    solv-int/9903004
  12. Makarov N.M., Tkachev G.B., Vekslerchik V.E.
    Non-linear conductivity and magnetoplasma waves in compensated metals and semi-metals.
    J.Phys.: Condens. Matter, 10, 1033-1052 (1998).
  13. Vekslerchik V.E.
    Functional representation of the Ablowitz-Ladik hierarchy.
    J. Phys. A: Mathematical and General, 31, 1087-1099 (1998).
  14. Vekslerchik V.E.
    The Davey-Stewartson equation and the Ablowitz-Ladik hierarchy.
    Inverse Problems, 12, 1057-1074 (1996).
  15. Vekslerchik V.E.
    Inverse scattering transform for the O(3,1) nonlinear sigma-model.
    Inverse Problems, 12, 517-534 (1996).
  16. Vekslerchik V.E., Snapiro I.B., Tkachev G.B.
    Nonlinear low-frequency structures of electromagnetic field in a compensated metal.
    Low Temp. Phys., 22, 882-890 (1996).
  17. Fisher L.M., Makarov N.M., Vekslerchik V.E., Yampol'skii V.A.
    Shock magnetoplasma waves in metals.
    J. Phys.: Condens. Matter, 7, 1995, 7549-7559 (1995).
  18. Vekslerchik V.E.
    An O(3,1) nonlinear sigma-model and the Ablowitz-Ladik hierarchy.
    "Fluctuation Phenomena: Disorder and Nonlinearity". Ed. by A.R.Bishop, S.Jimenes and S.Pnevmatikos (World Scientific, 1995), 292-298.
  19. Vekslerchik V.E.
    The 2D Toda lattice and the Ablowitz-Ladik hierarchy.
    Inverse Problems, 11, 463-479 (1995).
  20. Vekslerchik V.E.
    An O(3,1) nonlinear sigma-model and the Ablowitz-Ladik hierarchy.
    J. Phys. A: Mathematical and General, 27, 6299-6313 (1994).
  21. Konotop V.V. and Vekslerchik V.E.
    Direct perturbation theory for dark solitons.
    Phys. Rev. E, 49, 2397-2407 (1994).
    pdf  
  22. Vekslerchik V.E.
    Finite nonlinear Schrodinger chain.
    Physics Letters A, 174, 285-288 (1993).
  23. Bass F.G., Konotop V.V., Puzenko S.A., Vekslerchik V.E.
    Influence of high order dispersion on dynamics of a dark soliton.
    Ukrainian Physical Journal, 37, 1659-1665 (1992).
  24. Konotop V.V., Vekslerchik V.E.
    Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions.
    Inverse Problems, 8, 889-909 (1992).
  25. Chubykalo O.A., Konotop V.V., Vazquez L., Vekslerchik V.E.
    Some features of the repulsive discrete nonlinear Schrodinger equation.
    Physics Letters A 169, 359-363 (1992).
  26. Konotop V.V and Vekslerchik V.E.
    On soliton creation in nonlinear Schrodinger models: discrete and continuous versions.
    J.Phys.A: Mathematical and General, 25, 4037-4042 (1992).
  27. Konotop V.V and Vekslerchik V.E.
    Modulated dark soliton: features of creation and propagation.
    "Nonlinearity with disorder". Ed. by F.Abdullaev, A.R.Bishop, and S.Pnevmatikos (Springer-Verlag, 1992), 101-114.
  28. Bass F.G., Konotop V.V. and Vekslerchik V.E.
    On dynamics of solitons of the generalised nonlinear Schrodinger equation.
    Electromagnetics, 11, 407-434 (1991).
  29. Bass F.G., Konotop V.V., Pritula G.M., and Vekslerchik V.E.
    Nonlinear beam waves in inhomogeneous media.
    Radioscience, 26, 495-498 (1991).
  30. Konotop V.V. and Vekslerchik V.E.
    Randomly modulated dark soliton.
    J. Phys. A: Mathematical and General, 24, 767-785 (1991).
  31. Vekslerchik V.E.
    Dark soliton of the generalized nonlinear Schrodinger equation.
    Phys. Lett. A 153, 195-198 (1991).
  32. Vekslerchik V.V., Kivshar Yu.S., and Konotop V.V.
    Damping of solitons in fiber lightguides.
    Opt. Spectrosc. 67, 566-568 (1989).
  33. Vekslerchik V.E., Zaslavsky O.B., and Tsukernik V.M.
    Quantum mechanical tunneling in the Heisenberg model with weak anisotropy.
    Z. Eksp. Teor. Fiz., 95, 1820-1825 (1989).
  34. Konotop V.V. and Vekslerchik V.E.
    Dynamics of femtosecond optical pulses. Soliton with initial phase modulation.
    Phys. Lett. A, 131, 357-360 (1988).
  35. Vekslerchik V.E., Zaslavsky O.B., and Tsukernik V.M.
    Nonlinear absorbtion of high frequency field by an impurity atom in a spin chain.
    Fiz. Niz. Temp., 10, 1250-1256 (1984).