Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions

DOI10.1016/j.amc.2010.05.044zbMath1200.35249OpenAlexW1991109537MaRDI QIDQ708159

Kamgang Victor Kuetche, Thomas Bouetou Bouetou, Gambo Betchewe, Timoléon Créprin Kofané

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.044

zbMATH Keywords

travelling wavesbifurcationsphase portraitsdynamical behaviorgeneralized-Zakharov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07)

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Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations ⋮ Exact periodic wave solutions of the cubic-quintic Zakharov equation and their evolution with Hamilton energy ⋮ New solutions of the Gardner equation: analytical and numerical analysis of its dynamical understanding ⋮ Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system ⋮ Bifurcation of traveling wave solutions of the dual Ito equation ⋮ Exact periodic wave solutions for the modified Zakharov equations with a quantum correction ⋮ Periodic wave solutions and solitary wave solutions of generalized modified Boussinesq equation and evolution relationship between both solutions ⋮ Traveling wave solutions to the \((n+1)\)-dimensional sinh-cosh-Gordon equation

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