Waves in the Davey-Stewartson equation

DOI10.1088/0266-5611/7/2/003zbMath0737.76007OpenAlexW1982836787MaRDI QIDQ4713473

No author found.

Publication date: 25 June 1992

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/7/2/003

zbMATH Keywords

nonlinear waveseigenfunctionsSchrödinger equationscompletely integrablenonlinear instabilityBäcklund gauge transformationsDavey-Stewartson (DS) equationstring-type soliton solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Interacting waves of Davey-Stewartson III system ⋮ Soliton solutions of the Hamiltonian DSI and DSIII equations ⋮ Multidimensional localized solitons.