New solutions of the Gardner equation: analytical and numerical analysis of its dynamical understanding

DOI10.1016/j.amc.2013.08.028zbMath1329.37063OpenAlexW2020847473MaRDI QIDQ907561

Kofane Timoleon Crepin, Gambo Betchewe, Kuetche Kamgang Victor, Bouetou Bouetou Thomas

Publication date: 25 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.028

zbMATH Keywords

analytical solutionsbifurcationsphase portraitsnumerical solutionsGardner equationplanar dynamical systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Statistical mechanics of plasmas (82D10)

Related Items (4)

Existence of traveling wave solutions for the perturbed modefied Gardner equation ⋮ Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation ⋮ Exact traveling wave solutions of the Gardner equation by the improved \(\tan\left( \Theta \left( \vartheta\right)\right)\)-expansion method and the wave ansatz method ⋮ The bifurcations of solitary and kink waves described by the Gardner equation

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