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Soliton and Exact Solutions for the KdV–BBM Type Equations by tanh–coth and Transformed Rational Function Methods

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Abstract

In this work, we study the nonlinear partial differential equations such as KdV–BBM, mKdV–BBM, generalized KdV–BBM and potential KdV–BBM equations. We apply the tanh–coth and transformed rational function methods for these model equations to obtain soliton, kink, periodic, rational and travelling wave solutions with the help of Mathematica.

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Acknowledgements

The authors acknowledge University Grand Commission(Grand Number F.25-1/2013-14(BSR)5-66/2007) for providing financial support under—BSR(Basic Science Research) scheme. We would like to express our sincere thanks to Professor B. Mayil vaganan for his valuable suggestions and kind help.

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  1. Department of Mathematics, Madurai Kamaraj Univerisy, Madurai, Tamil Nadu, 625021, India

    R. Asokan & D. Vinodh

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  1. R. Asokan
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  2. D. Vinodh
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Correspondence to R. Asokan.

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Asokan, R., Vinodh, D. Soliton and Exact Solutions for the KdV–BBM Type Equations by tanh–coth and Transformed Rational Function Methods. Int. J. Appl. Comput. Math 4, 100 (2018). https://doi.org/10.1007/s40819-018-0533-7

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  • DOI: https://doi.org/10.1007/s40819-018-0533-7

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