Dynamical Behavior and Exact Traveling Wave Solutions for Three Special Variants of the Generalized Tzitzeica Equation

Authors

  • Rongzheng Shu
  • Haohao Qian
  • Lina Zhang

DOI:

https://doi.org/10.12150/jnma.2022.529

Keywords:

Generalized Tzitzeica equation, Solitary wave solution, Periodic wave solution, Peakon solution.

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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Published

2024-04-10

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Issue

Vol. 4 No. 3 (2022)

Section

Articles

How to Cite

Dynamical Behavior and Exact Traveling Wave Solutions for Three Special Variants of the Generalized Tzitzeica Equation. (2024). Journal of Nonlinear Modeling and Analysis, 4(3), 529-538. https://doi.org/10.12150/jnma.2022.529