https://doi.org/10.1140/epjp/s13360-021-01217-1
Regular Article
Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function
Department of Physics, Diamond Harbour Women’s University, D. H. Road, 743368, Sarisha, West Bengal, India
Received:
4
January
2021
Accepted:
10
February
2021
Published online:
18
February
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021