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Additional conservation laws for Rosenau–KdV–RLW equation with power law nonlinearity by Lie symmetry

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Abstract

This paper computes the conservation laws of the Rosenau–KdV–RLW equation with power law nonlinearity by the aid of multiplier approach in Lie symmetry analysis. This equation models the dynamics of dispersive shallow water waves along lake shores and beaches. The usual conservation laws are reported earlier that are computed from basic mathematical principles. The conservation laws in this paper are extracted using Lie symmetry analysis. The corresponding conserved quantities are computed from their respective densities.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA

    Polina Razborova & Anjan Biswas

  2. School of Mathematics, University of the Witwatersrand, Johannesburg, 2050, South Africa

    Abdul H. Kara

  3. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

Authors
  1. Polina Razborova
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  2. Abdul H. Kara
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  3. Anjan Biswas
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Correspondence to Anjan Biswas.

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Razborova, P., Kara, A.H. & Biswas, A. Additional conservation laws for Rosenau–KdV–RLW equation with power law nonlinearity by Lie symmetry. Nonlinear Dyn 79, 743–748 (2015). https://doi.org/10.1007/s11071-014-1700-y

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  • DOI: https://doi.org/10.1007/s11071-014-1700-y

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