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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.

Shaolong Xie, Xiaochun Hong & Ying Tan. (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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