An asymptotic solution of the Cauchy problem for the Davey-Stewartson-I equation

DOI10.1007/BF02557110zbMath0945.35084OpenAlexW2079690027MaRDI QIDQ1568046

N. Delaunay

Publication date: 15 October 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557110

zbMATH Keywords

integral equationCauchy problemoscillationsDavey-Stewartson-I equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• On the initial value problem for the Davey-Stewartson systems
• On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
• On two-dimensional packets of capillary-gravity waves
• On three-dimensional packets of surface waves
• The decay of the continuous spectrum for solutions of the Korteweg-deVries equation

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