International Journal of Scientific Engineering and Technology

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Exact Traveling Wave Solutions of the Nonlinear (2+1)-Dimensional Typical Breaking Soliton Equation Via Exp (-Φ (ξ))-Expansion Method


Affiliations
1 Department of Mathematics, Pabna University of Science and Technology, Bangladesh
2 Department of Mathematics, University of Dhaka, Bangladesh
 

In this paper, we present traveling wave solutions for the (2+1)-dimensional typical breaking soliton equation. The exp (-Φ (ξ))-expansion method is applied to find exact solutions of that equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions solutions and the rational functions. It is shown that the method is really useful and can be used for many other nonlinear evolution equations (NLEEs) in mathematical science and engineering.

Keywords

The Exp (-Φ (ξ))-Expansion Method, The (2+1)-Dimensional Typical Breaking Soliton Equation, Traveling Wave Solutions, Solitary Wave Solutions and Graphical Representation of the Solutions.
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  • Exact Traveling Wave Solutions of the Nonlinear (2+1)-Dimensional Typical Breaking Soliton Equation Via Exp (-Φ (ξ))-Expansion Method

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Authors

Nizhum Rahman
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
Harun-Or-Roshid
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
Md. Nur Alam
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
Shinthia Zafor
Department of Mathematics, University of Dhaka, Bangladesh

Abstract


In this paper, we present traveling wave solutions for the (2+1)-dimensional typical breaking soliton equation. The exp (-Φ (ξ))-expansion method is applied to find exact solutions of that equation. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions solutions and the rational functions. It is shown that the method is really useful and can be used for many other nonlinear evolution equations (NLEEs) in mathematical science and engineering.

Keywords


The Exp (-Φ (ξ))-Expansion Method, The (2+1)-Dimensional Typical Breaking Soliton Equation, Traveling Wave Solutions, Solitary Wave Solutions and Graphical Representation of the Solutions.