Application of Multiple Exp Function Method to Obtain Soliton Solutions of Calogero -Bogoyavlenski-Schiff Equation

Document Type : Research Paper

Authors

1 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

2 Department of Engineering Sciences, Faculty of Technology and Engineering, University of Guilan, East of Guilan, Rudsar, Iran

Abstract

In physics and mathematics, research on the exact solutions of nonlinear differential equations is of great importance. Precise solutions play an important role in understanding the properties and quality of nonlinear phenomena. A wide range of exact solutions is nonlinear differential equations of soliton solutions. The study of solitons is very important because of their wide applications in various sciences such as fluid mechanics, plasma physics, astronomy, signal propagation in optical fibers and so on. In this study, we attempt to obtain the soliton solutions of the calogero-Bogojavolenski-Schiff equation by using the multiple exp-function method with Maple software. One-soliton, two-soliton, and three-soliton type solutions have been obtained by using the method. The results can be used as a benchmark for numerical solutions of the underlying equations and it can be analyzed in different branches of science and physics. Multiple exp-function method is very useful for solving multiple soliton solutions due to its simple calculations, and it is easy to be extended for solving other nonlinear developmental equations.

Keywords

References

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History

  • Receive Date: 02 January 2020
  • Revise Date: 04 February 2020
  • Accept Date: 04 March 2020

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