On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems

DOI10.1007/BF02878975zbMath0997.35092OpenAlexW2223512276MaRDI QIDQ1609702

Bo-ling Guo, Bao Xiang Wang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878975

zbMATH Keywords

Sobolev spaceuniquenesslocal and global existenceDavey-Stewartson systemsscattering operators

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Energy scattering for the generalized Davey-Stewartson equations ⋮ Almost conservation law and global rough solutions to a nonlinear Davey-Stewartson equation ⋮ Low-regularity integrator for the Davey-Stewartson II system ⋮ The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system ⋮ Multi-solitons for a generalized Davey-Stewartson system ⋮ Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system ⋮ CAUCHY PROBLEM FOR THE GENERALIZED DAVEY-STEWARTSON SYSTEMS IN BESOV SPACES AND SOME COUNTEREXAMPLES ⋮ Self-similar solutions to a generalized Davey-Stewartson system ⋮ A global existence and blow-up threshold for Davey-Stewartson equations in \(\mathbb{R}^3\) ⋮ Small solitons and multisolitons in the generalized Davey-Stewartson system ⋮ A new criterion and the limit of blowup solutions for a generalized Davey–Stewartson system

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