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

PLoS One. 2023 Jan 6;18(1):e0276961. doi: 10.1371/journal.pone.0276961. eCollection 2023.

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.

MeSH terms

  • Nonlinear Dynamics*

Grants and funding

The authors received no specific funding for this work.