New Exact-analytical Solutions for the Mkdv Equation

Volume 2, Issue 3, pp 413--416 http://dx.doi.org/10.22436/jmcs.02.03.02

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Authors

S. R. Mousavian - Department of Mathematics, Islamic Azad University, Jouybar Branch, Jouybar, Mazandaran, Iran H. Jafari - Department of Mathematics, University of Mazandaran, Babolsar, Mazandaran, Iran C. M. Khalique - International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa S. A. Karimi - Department of Mathematics, University of Mazandaran, Babolsar, Mazandaran, Iran

Abstract

In this paper, the sine-cosine, the extended tanh method has been used to obtain solutions of the modified KdV(mKdV) equation. New periodic solutions are formally derived.

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Keywords

• The nonlinear evolutions equations
• the sine-cosine method
• the extended tanh method
• the modified KdV equation.

MSC

•  35Q53
•  37K40

References

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