On the soliton-free structure of scattering data on perturbation of a two-dimensional soliton for the Davey-Stewartson equation II

DOI10.1007/BF02071071zbMath0889.35098OpenAlexW2038458074MaRDI QIDQ1379231

J. Ning

Publication date: 25 February 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02071071

zbMATH Keywords

asymptotics of scattering dataDavey-Stewartson equation II

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation ⋮ Interaction of lumps with a line soliton for the DSII equation ⋮ Structural instability of a soliton for the Davey-Stewartson II equation

Cites Work

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• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• Two-dimensional lumps in nonlinear dispersive systems
• Inverse Problems in Multidimensions
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform