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Lie symmetry analysis and similarity solutions for the Camassa–Choi equations

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Abstract

The method of Lie symmetry analysis of differential equations is applied to determine exact solutions for the Camassa–Choi equation and its generalization. We prove that the Camassa–Choi equation is invariant under an infinity-dimensional Lie algebra, with an essential five-dimensional Lie algebra. The application of the Lie point symmetries leads to the construction of exact similarity solutions.

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  1. Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa

    Andronikos Paliathanasis

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  1. Andronikos Paliathanasis
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Paliathanasis, A. Lie symmetry analysis and similarity solutions for the Camassa–Choi equations. Anal.Math.Phys. 11, 57 (2021). https://doi.org/10.1007/s13324-021-00492-6

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