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Volume 1, Issue 1
Geometric Properties and Exact Travelling Wave Solutions for the Generalized Burger-Fisher Equation and the Sharma-Tasso-Olver Equation

Jibin Li

DOI: 10.12150/jnma.2019.1

J. Nonl. Mod. Anal., 1 (2019), pp. 1-10.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we study the dynamical behavior and exact parametric representations of the traveling wave solutions for the generalized Burger-Fisher equation and the Sharma-Tasso-Olver equation under different parametric conditions, the exact monotonic and non-monotonic kink wave solutions, two-peak solitary wave solutions, periodic wave solutions, as well as unbounded traveling wave solutions are obtained.

  • Keywords

Monotonic and non-monotonic kink wave, periodic wave, exact solution, integrable system, Burger-Fisher equation, Sharma-Tasso-Olver equation.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-1, author = {Li , Jibin}, title = {Geometric Properties and Exact Travelling Wave Solutions for the Generalized Burger-Fisher Equation and the Sharma-Tasso-Olver Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {1}, pages = {1--10}, abstract = {

In this paper, we study the dynamical behavior and exact parametric representations of the traveling wave solutions for the generalized Burger-Fisher equation and the Sharma-Tasso-Olver equation under different parametric conditions, the exact monotonic and non-monotonic kink wave solutions, two-peak solitary wave solutions, periodic wave solutions, as well as unbounded traveling wave solutions are obtained.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.1}, url = {http://global-sci.org/intro/article_detail/jnma/18864.html} }
TY - JOUR T1 - Geometric Properties and Exact Travelling Wave Solutions for the Generalized Burger-Fisher Equation and the Sharma-Tasso-Olver Equation AU - Li , Jibin JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 1 EP - 10 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.1 UR - https://global-sci.org/intro/article_detail/jnma/18864.html KW - Monotonic and non-monotonic kink wave, periodic wave, exact solution, integrable system, Burger-Fisher equation, Sharma-Tasso-Olver equation. AB -

In this paper, we study the dynamical behavior and exact parametric representations of the traveling wave solutions for the generalized Burger-Fisher equation and the Sharma-Tasso-Olver equation under different parametric conditions, the exact monotonic and non-monotonic kink wave solutions, two-peak solitary wave solutions, periodic wave solutions, as well as unbounded traveling wave solutions are obtained.

Jibin Li. (1970). Geometric Properties and Exact Travelling Wave Solutions for the Generalized Burger-Fisher Equation and the Sharma-Tasso-Olver Equation. Journal of Nonlinear Modeling and Analysis. 1 (1). 1-10. doi:10.12150/jnma.2019.1
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