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Volume 4, Issue 3
Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation

Shaolong Xie, Xiaochun Hong & Ying Tan

DOI: 10.12150/jnma.2022.443

J. Nonl. Mod. Anal., 4 (2022), pp. 443-453.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35B10, 35C07, 35C08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-443, author = {Xie , ShaolongHong , Xiaochun and Tan , Ying}, title = {Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.443}, url = {http://global-sci.org/intro/article_detail/jnma/20716.html} }
TY - JOUR T1 - Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation AU - Xie , Shaolong AU - Hong , Xiaochun AU - Tan , Ying JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 443 EP - 453 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.443 UR - https://global-sci.org/intro/article_detail/jnma/20716.html KW - Fujimoto-Watanabe equation, Solitary loop wave, Periodic loop wave, Peakon, Periodic cusp wave. AB -

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.

Xie , ShaolongHong , Xiaochun and Tan , Ying. (2022). Exact Loop Wave Solutions and Cusp Wave Solutions of the Fujimoto-Watanabe Equation. Journal of Nonlinear Modeling and Analysis. 4 (3). 443-453. doi:10.12150/jnma.2022.443
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