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

Saima Arshed, Ghazala Akram, Maasoomah Sadaf, Qurrat-ul-ain, Muhammad Bilal Riaz, Adam Wojciechowski

2023PLoS ONE20 citationsDOIOpen Access PDF

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.

Topics & Concepts

Traveling wavePhysicsHyperbolic functionMathematical analysisOne-dimensional spaceSolitonHomogeneousMathematical physicsMathematicsStatistical physicsNonlinear systemQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems
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