On global smooth solution for generalized Zakharov equations

DOI10.1016/j.camwa.2016.04.037zbMath1443.35149OpenAlexW2403637581MaRDI QIDQ2007304

Xiaoqi Ning, Shu-Jun You

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.04.037

zbMATH Keywords

initial value problemglobal solutionsgeneralized Zakharov equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Initial boundary value problem for generalized Zakharov equations with nonlinear function terms ⋮ Schrödinger-improved Boussinesq system in two space dimensions ⋮ An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system ⋮ A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system ⋮ Zakharov system in two space dimensions ⋮ Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)

Cites Work

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• Initial boundary value problem for modified Zakharov equations
• An improved local well-posedness result for the one-dimensional Zakharov system
• The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
• Über Näherungsverfahren zur Lösung der nichtlinearen Schrödinger-Gleichung mit selbstkonsistentem Potential
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