Exact Travelling Solutions for the Sixth-order Boussinesq Equation

Volume 2, Issue 2, pp 376--387 http://dx.doi.org/10.22436/jmcs.002.02.17

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Authors

M. Hosseini - Department of Mechanical Engineering, Islamic Azad University, Ghaemshahr, Iran H. Abdollahzadeh - University of Kurdistan, Department of Industrial Engineering, Sanandaj, Iran M. Abdollahzadeh - Babol University of Technology, Department of Mechanical Engineering, P. O. Box: 484, Babol, Iran

Abstract

In this paper, we establish some distinct exact solutions for a nonlinear evolution equation. The sin-cosine method and the rational Exp-Function and the rational hyperbolic function method are used to construct the solitary travelling wave solutions of the sixth-order Boussinesq equation . These solutions may be important of significance for the explanation of some practical physical problem.

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Keywords

• Traveling wave solutions
• sin-cosine method
• Exponential rational function method
• the rational hyperbolic functions methods
• the sixth-order Boussinesq equation

MSC

•  35C07
•  47J35
•  58D25

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