Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation

Authors

  • Shaolong Xie
  • Xiaochun Hong
  • Ying Tan

DOI:

https://doi.org/10.12150/jnma.2022.443

Keywords:

Fujimoto-Watanabe equation, Solitary loop wave, Periodic loop wave, Peakon, Periodic cusp wave.

Abstract

In this paper, the theory of dynamical systems is employed to investigate loop waves and cusp waves of the Fujimoto-Watanabe equation. These waves contain solitary loop waves, periodic loop waves, peakons and periodic cusp waves. Under fixed parameter conditions, their exact explicit parametric expressions are given.

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Published

2024-04-10

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Issue

Vol. 4 No. 3 (2022)

Section

Articles

How to Cite

Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation. (2024). Journal of Nonlinear Modeling and Analysis, 4(3), 443-453. https://doi.org/10.12150/jnma.2022.443