The approximate manifolds for the generalized (2+1)-dimensional long-short wave equations

DOI10.1007/s00605-010-0262-4zbMath1251.37073OpenAlexW2006836551MaRDI QIDQ766214

Jie Xin, Hong Lu

Publication date: 23 March 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0262-4

zbMATH Keywords

Galerkin methodapproximate inertial manifoldglobal existencelong-short wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (1)

Solitons and other solutions of the long-short wave equation

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics.
• Long time behavior for the weakly damped driven long-wave--short-wave resonance equations
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• Nonlinear Schrödinger evolution equations
• The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• The global solution of the (2+1)-dimensional long wave–short wave resonance interaction equation

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