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Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation

Author

Listed:
  • Saima Arshed
  • Ghazala Akram
  • Maasoomah Sadaf
  • Qurrat-ul-ain
  • Muhammad Bilal Riaz
  • Adam Wojciechowski

Abstract

The behavior of gas diffusion in a homogeneous medium is described by the (2+1)-dimensional Chaffee-Infante equation. In this work, the solitary wave behavior of the (2+1)-dimensional Chaffee-Infante equation is studied with the help of extended sinh-Gordon equation expansion technique. Bright, dark, periodic, kink, anti-kink and singular traveling wave patterns are observed for suitable choice of parameters. The 3D graphs, 2D plots and contour plots are included to understand the dynamics of the obtained solutions. The obtained results depict that the extended sinh-Gordon equation expansion technique provides an efficient tool for solving other equations that occur in different branches of science and technology.

Suggested Citation

  • Saima Arshed & Ghazala Akram & Maasoomah Sadaf & Qurrat-ul-ain & Muhammad Bilal Riaz & Adam Wojciechowski, 2023. "Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-26, January.
    • Handle: RePEc:plo:pone00:0276961
    DOI: 10.1371/journal.pone.0276961
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    References listed on IDEAS

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    1. Lin Jianming & Ding Jie & Yuan Wenjun, 2011. "Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-8, May.
    2. Lin Jianming & Ding Jie & Yuan Wenjun, 2011. "Bäcklund Transformation and New Exact Solutions of the Sharma‐Tasso‐Olver Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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