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Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations

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  • Christodoulos Sophocleous

    (Department of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus)

Abstract

The Boiti–Leon–Manna–Pempinelli (BLMP) equation with coefficients being functions of time is considered. Since the coefficient functions are arbitrary, we have a class of BLMP equations. Symmetry analysis is carried out for this class. We derive the equivalence group admitted by the class and we present the enhanced Lie group classification. Lie symmetries are used to construct similarity reductions. Reduction operators that are not equivalent to Lie ones are also constructed.

Suggested Citation

  • Christodoulos Sophocleous, 2024. "Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations," Mathematics, MDPI, vol. 12(22), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3449-:d:1514191
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    References listed on IDEAS

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    1. Osman, M.S. & Wazwaz, Abdul-Majid, 2018. "An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 282-289.
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