ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS

DOI10.11948/20190118zbMath1464.35305OpenAlexW3019433542MaRDI QIDQ5859466

Jie Xin, Xiaoxiao Zheng, Xiaoming Peng

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190118

zbMATH Keywords

orbital stabilityperiodic traveling wavesgeneralized long-short wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Resonance in context of PDEs (35B34) Elliptic functions and integrals (33E05) Traveling wave solutions (35C07)

Related Items (8)

Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides ⋮ Orbital stability of dn periodic wave solutions of the Boussinesq equation with quadratic-cubic nonlinear terms ⋮ Influence of the hidden regularity on the stability of partially damped systems of wave equations ⋮ Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions ⋮ Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization ⋮ Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems ⋮ Uniform Synchronization of an Abstract Linear Second Order Evolution System ⋮ Exact Boundary Synchronization by Groups for a Coupled System of Wave Equations with Coupled Robin Boundary Controls on a General Bounded Domain

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