Indian Journal of Mathematics Research

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Soliton Solutions for Whitham-borer-kaup (WBK) Equation Using Symbolic Computation


Affiliations
1 Mathematics Department, Faculty of Science, South Valley University, Qena., Egypt
     

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We make use of the homogeneous balance method and symbolic computation to construct new exact travelling wave solutions for the Whitham-Borer-Kaup (WBK) equation. Many exact travelling wave solutions are successfully obtained, which contain soliton, soliton-like solutions, rational and periodic-like solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations.

Keywords

Homogeneous Balance Method, Traveling Wave Solutions, Soliton Solutions, Whitham-borer-kaup (WBK) Equation, Riccati Equation
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  • Soliton Solutions for Whitham-borer-kaup (WBK) Equation Using Symbolic Computation

Abstract Views: 524  |  PDF Views: 2

Authors

Mohammed K. El-Boree
Mathematics Department, Faculty of Science, South Valley University, Qena., Egypt

Abstract


We make use of the homogeneous balance method and symbolic computation to construct new exact travelling wave solutions for the Whitham-Borer-Kaup (WBK) equation. Many exact travelling wave solutions are successfully obtained, which contain soliton, soliton-like solutions, rational and periodic-like solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations.

Keywords


Homogeneous Balance Method, Traveling Wave Solutions, Soliton Solutions, Whitham-borer-kaup (WBK) Equation, Riccati Equation

References