Analytical Traveling Wave and Soliton Solutions of the (2+1) Dimensional Generalized Burgers–Huxley Equation

• Desta Leta, Temesgen ^[1] ; Liu, Wenjun ^[1] ; Rezazadeh, Hadi ^[2] ; Ding, Jian ^[1] ; El Achab, Abdelfattah ^[3]
  1. [1] Nanjing University of Information Science and Technology

     Nanjing University of Information Science and Technology

     China

     
  2. [2] Amol University of Special Modern Technologies
  3. [3] University Cadi Ayyad Bd. du Prince Moulay Abdellah

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
• DOI: 10.1007/s12346-021-00528-z
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• Resumen

  • This paper employs the modified Kudryashov method, Riccati-Bernoulli sub-ODE method and the bifurcation methods to study a nonlinear (2+1)—dimensional generalised Burgers–Huxley equation in inhomogeneous dispersive medium to construct exact traveling wave solutions. By applying the Galilean wave transformation we obtained an ordinary differential equations. As a result, we investigated the dynamical behaviour of new traveling wave solutions under different parameter conditions. The solutions obtained by these methods provide us a powerful tool for solving nonlinear evolution equations in various fields of applied sciences.

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