New solitary wave solution for inhomogeneous Burgers-Fisher equation using a family of modified tanh-like method

Authors

  • Justin Gabriel M. Parel Department of Physics, Ateneo de Manila University
  • Benjamin B. Dingel Department of Physics and Ateneo Innovation Center, Ateneo de Manila University, and Nasfine Photonics Inc.

Abstract

The homogeneous Burgers-Fisher (BF) equation is a nonlinear partial differential equation that describes convection, diffusion, and reaction mechanisms found in many physical phenomena. The exact analytical solutions are obtained by employing a variety of ansatz methods. However, when BF is inhomogeneous many of these ansatz are not useful. Thus, we report a modified form of the tangent hyperbolic-function ansatz for application to inhomogeneous Burgers-Fisher (IBF). We obtain a new solitary wave solution of the kink-type for the IBF equation with a forced function.

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Issue

Article ID

SPP-2024-PC-03

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2024-06-25

How to Cite

[1]
JGM Parel and BB Dingel, New solitary wave solution for inhomogeneous Burgers-Fisher equation using a family of modified tanh-like method, Proceedings of the Samahang Pisika ng Pilipinas 42, SPP-2024-PC-03 (2024). URL: https://proceedings.spp-online.org/article/view/SPP-2024-PC-03.