Nonlocal symmetries and explicit solutions for the Gardner equation

DOI10.1016/j.amc.2017.07.002zbMath1426.35201OpenAlexW2736690041MaRDI QIDQ1740100

Jinxi Fei, Weiping Cao, Zheng-Yi Ma

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.002

zbMATH Keywords

explicit solutionLax pairGardner equationnonlocal symmetry

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Explicit soliton–cnoidal wave interaction solutions for the (2+1)-dimensional negative-order breaking soliton 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 ⋮ Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation

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