• Generalised conservation laws, reductions and exact solutions of the $K(m, n)$ equations via double reduction theory

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    • Keywords


      Symmetries; generalised conservation laws; $K(m, n)$ equations; double reduction.

    • Abstract


      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 $n$.

    • Author Affiliations



      1. Department of Mathematics, School of Science and Engineering, Lahore University of Management Sciences, Lahore Cantt 54792, Pakistan
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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