On the Discrete Spectrum of Systems in the Plane and the Davey--Stewartson II Equation

DOI10.1137/S0036141001391627zbMath1044.35096MaRDI QIDQ4429862

Javier Villarroel, Mark J. Ablowitz

Publication date: 30 September 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

inverse scattering transformspectral analysisinteracting solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25)

Related Items (8)

Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation ⋮ Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system ⋮ Asymptotic analysis of the higher-order lump in the Davey-Stewartson I equation ⋮ Weakly decaying solutions of nonlinear Schrödinger equation in the plane ⋮ Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps ⋮ Quasi-periodic breathers and rogue waves to the focusing Davey-Stewartson equation ⋮ Rational and semi-rational solutions to the asymmetric Nizhnik–Novikov–Veselov system ⋮ Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation

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