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

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Abstract

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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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Temesgen Desta Leta, Wenjun Liu & Jian Ding

  2. Department of Mathematics, Dilla University, P. O. Box 419, Dilla, SNNPR, Ethiopia

    Temesgen Desta Leta

  3. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  4. Faculty of Sciences Semlalia, University Cadi Ayyad Bd. du Prince Moulay Abdellah, B. P. 2390, Marrakech, Morocco

    Abdelfattah El Achab

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  1. Temesgen Desta Leta
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  2. Wenjun Liu
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  3. Hadi Rezazadeh
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  4. Jian Ding
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  5. Abdelfattah El Achab
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Correspondence to Temesgen Desta Leta.

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The first author is supported by Talented Young Scientist Program of Ministry of Science and Technology of China (Ethiopia-18-010) and National Natural Science Foundation of China [Grant Number 1191101161]. The second author is supported by the National Natural Science Foundation of China [grant number 11771216]

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Leta, T.D., Liu, W., Rezazadeh, H. et al. Analytical Traveling Wave and Soliton Solutions of the \((2+1)\) Dimensional Generalized Burgers–Huxley Equation. Qual. Theory Dyn. Syst. 20, 90 (2021). https://doi.org/10.1007/s12346-021-00528-z

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