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

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

Year:    2022

Author:    Shaolong Xie, Xiaochun Hong, Ying Tan

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 443–453

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 443–453

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Fujimoto-Watanabe equation Solitary loop wave Periodic loop wave Peakon Periodic cusp wave.

Author Details

Shaolong Xie

Xiaochun Hong

Ying Tan