A note on the Cauchy problem of the generalized Davey-Stewartson equations

DOI10.1016/J.AMC.2009.08.038zbMath1181.35261OpenAlexW2070085202MaRDI QIDQ1039698

Cuihua Guo, Shang-bin Cui

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.038

zbMATH Keywords

existenceCauchy problemDavey-Stewartson equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation

Cites Work

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• Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• Stability of standing waves for the generalized Davey-Stewartson system
• Almost conservation law and global rough solutions to a nonlinear Davey-Stewartson equation
• On the evolution of packets of water waves
• On the initial value problem for the Davey-Stewartson systems
• Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources
• Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
• On the soliton solutions of the Davey-Stewartson equation for long waves
• The Cauchy problem for Davey-Stewartson systems

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