On the Davey-Stewartson and Ishimori systems

DOI10.1023/A:1009875019021zbMath0930.35161OpenAlexW72851872MaRDI QIDQ1304378

Pavel I. Naumkin, Nakao Hayashi

Publication date: 9 February 2000

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009875019021

zbMATH Keywords

Cauchy problemlocal existenceDavey-Stewartson systemnonlinear nonlocal Schrödinger equationelliptic-hyperbolic caseIshimori system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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SMOOTHING EFFECT AND LARGE TIME BEHAVIOR OF SOLUTIONS TO SCHRÖDINGER EQUATIONS WITH NONLINEARITY OF INTEGRAL TYPE ⋮ The Cauchy problem for the elliptic-hyperbolic Davey-Stewartson system in Sobolev space

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