The global solution of the (2+1)-dimensional long wave–short wave resonance interaction equation

DOI10.1063/1.2940320zbMath1152.81635OpenAlexW2007437389MaRDI QIDQ5504986

Daiwen Huang, Jie Xin, Yong Qian Han, Bo-ling Guo

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2940320

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear first-order PDEs (35F20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (9)

Weakly compact uniform attractor for the nonautonomous long-short wave equations ⋮ The existence of a global attractor for the \((2+1)\)-dimensional long wave-short wave resonance interaction equation ⋮ Solitons and other solutions of the long-short wave equation ⋮ Dynamical behavior of traveling wave solutions of a long waves-short waves resonance model ⋮ Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term ⋮ The approximate manifolds for the generalized (2+1)-dimensional long-short wave equations ⋮ Uniform attractor and approximate inertial manifolds for nonautonomous long-short wave equations ⋮ Uniform attractor for the fractional nonautonomous long-short wave equations ⋮ ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING

Cites Work

• Interaction equations for short and long dispersive waves
• Long time behavior for the weakly damped driven long-wave--short-wave resonance equations
• `Positon' and `Dromion' Solutions of the (2+1) Dimensional Long Wave-Short Wave Resonance Interaction Equations
• Periodic and localized solutions of the long wave–short wave resonance interaction equation
• Application of dressing method for long wave–short wave resonance interaction equation
• Nonlinear Schrödinger evolution equations
• Well-posedness of the cauchy problem for the long wave-short wave resonance equations

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