Darboux transformations for the Davey-Stewartson equations

DOI10.1016/0375-9601(96)00304-0zbMath0972.35539OpenAlexW2056515049MaRDI QIDQ1967896

Manuel Mañas, Francisco Guil

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00304-0

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy ⋮ Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations ⋮ Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems ⋮ Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction ⋮ The Darboux system: Finite-rank constraints and Darboux transformations

Cites Work

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• Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem
• On the soliton solutions of the Davey-Stewartson equation for long waves
• The Dirac equation and integrable systems of KP type
• On three-dimensional packets of surface waves
• Finite-rank constraints on linear flows and the Davey-Stewartson equation
• Wave Instabilities

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