Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

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Kazemi Rasool; Mosaddeghi Masoud

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Journal: Mathematics Interdisciplinary Research Year:2019 | Volume:4 | Issue:2 Page(s): 263-279

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Title

Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

Author(s)

Kazemi Rasool | Mosaddeghi Masoud | Issue Writer Certificate

Keywords

General Burgers-Boussinesq equation

travelling wave solutions

Bifurcation theory

Abstract

By using Bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the General Burgers-Boussinesq equation, and we give their corresponding phase portraits. In different parametric regions, different types of travelling wave solutions such as solitary wave solutions, cusp solitary wave solutions, kink (anti kink) wave solutions and periodic wave solutions are simulated. Also in each parameter bifurcation sets, we obtain the exact explicit parametric representation of all travelling wave solutions.

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APA: Copy

Kazemi, Rasool, & Mosaddeghi, Masoud. (2019). Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation. MATHEMATICS INTERDISCIPLINARY RESEARCH, 4(2), 263-279. SID. https://sid.ir/paper/748152/en

Vancouver: Copy

Kazemi Rasool, Mosaddeghi Masoud. Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation. MATHEMATICS INTERDISCIPLINARY RESEARCH[Internet]. 2019;4(2):263-279. Available from: https://sid.ir/paper/748152/en

IEEE: Copy

Rasool Kazemi, and Masoud Mosaddeghi, “Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation,” MATHEMATICS INTERDISCIPLINARY RESEARCH, vol. 4, no. 2, pp. 263–279, 2019, [Online]. Available: https://sid.ir/paper/748152/en

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