https://doi.org/10.1140/epjp/s13360-022-02738-z
Regular Article
Conservation laws and exact solutions of a family of compacton-supporting equations
Department of Mathematics, School of Science and Engineering, Lahore University of Management Sciences, 54792, Lahore Cantt, Pakistan
Received:
12
December
2021
Accepted:
17
April
2022
Published online:
3
May
2022
In this article, we study a generalized equation that represents a family of compacton-supporting equations. We present the general form of conservation laws for the family of compacton equations by employing the multiplier approach. The generalized conservation laws presented in this study are important in determining the solution process of any third-order nonlinear dispersive partial differential equation that belongs to the category of the generalized compacton family equation. The double reduction theory is employed to construct reductions and new exact solutions of various sub-cases of the compacton family equation.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
