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Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function

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Abstract

We consider applications of a new function, introduced by Kudryashov (Optik, 206:163550, 2020), to obtain solitary wave solutions of nonlinear PDEs arising in the domain of plasma physics, through their traveling wave reductions. The Kudryashov function, R, has several features which significantly assist symbolic computation specially in case of highly dispersive nonlinear equations. The method provides a simple, effective and straightforward algorithm for obtaining solitary wave solutions.

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Acknowledgements

We wish to thank Professors Nikolay Kudryashov and Anjan Biswas for drawing our attention to this new approach and for the encouragement. We also thank the anonymous referee for his/her constructive comments toward the betterment of this manuscript.

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Authors and Affiliations

  1. Department of Physics, Diamond Harbour Women’s University, D. H. Road, Sarisha, West Bengal, 743368, India

    Sharmistha Sain, A. Ghose-Choudhury & Sudip Garai

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  1. Sharmistha Sain
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  2. A. Ghose-Choudhury
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  3. Sudip Garai
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All the authors contributed equally to this work.

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Correspondence to Sudip Garai.

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Sain, S., Ghose-Choudhury, A. & Garai, S. Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function. Eur. Phys. J. Plus 136, 226 (2021). https://doi.org/10.1140/epjp/s13360-021-01217-1

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