Articles written in Pramana – Journal of Physics
Volume 95 All articles Published: 6 February 2021 Article ID 0030 Research Article
In this article, we present the general form of conservation laws for the nonlinear Rosenau–Hyman compacton $K(m, n)$ equations using multiplier’s approach. General formulas for some new conservation laws are established for the $K(m, n)$ equations. We describe three different cases where Lie symmetries are associated with these generalised conservation laws. The double reduction theory is utilised to construct some new reductions and exact solutions for different values of $m$ and $n$.
Volume 96, 2022
Continuous Article Publishing mode
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