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On a structure of the explicit solutions to the Davey-Stewartson equations

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Publication:992384
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DOI10.1016/0167-2789(95)00158-ZzbMath1194.35424OpenAlexW2064922060MaRDI QIDQ992384

Dmitry E. Pelinovsky

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00158-z


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

Soliton resonance and web structure in the Davey–Stewartson system, General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions, The ∂̄-dressing method and the solutions with constant asymptotic values at infinity of DS-II equation, Rational solutions of the KP hierarchy and the dynamics of their poles. II. Construction of the degenerate polynomial solutions



Cites Work

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  • The structure of the rational solutions to the Boussinesq equation
  • Two-dimensional lumps in nonlinear dispersive systems
  • General superposition of solitons and various ripplons of a two-dimensional nonlinear Schrödinger equation
  • A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
  • On the soliton solutions of the Davey-Stewartson equation for long waves
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