Dynamical Behavior and Exact Traveling Wave Solutions for Three Special Variants of the Generalized Tzitzeica Equation
Year: 2022
Author: Rongzheng Shu, Haohao Qian, Lina Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 529–538
Abstract
The dynamics and bifurcations of traveling wave solutions are studied for three nonlinear wave equations. A new phenomenon, such as a composed orbit, which consists of two or three heteroclinic orbits, may correspond to a solitary wave solution, a periodic wave solution or a peakon solution, is found for the equations. Some previous results are extended.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.529
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 529–538
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Generalized Tzitzeica equation Solitary wave solution Periodic wave solution Peakon solution.