• Soliton solutions of some nonlinear evolution equations with time-dependent coefficients

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/080/02/0361-0367

• # Keywords

Dark and bright soliton; KdV equation; nonlinear Schrödinger equation; $G(m, n)$ equation.

• # Abstract

In this paper, we obtain exact soliton solutions of the modified KdV equation, inho-mogeneous nonlinear Schrödinger equation and $G(m, n)$ equation with variable coefficients using solitary wave ansatz. The constraint conditions among the time-dependent coefficients turn out as necessary conditions for the solitons to exist. Numerical simulations for dark and bright soliton solutions for the mKdV equation are also given.

• # Author Affiliations

1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

• # Pramana – Journal of Physics

Volume 96, 2022
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019