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arXiv · 2101.11843

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

Andronikos Paliathanasis
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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 infinite-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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Andronikos Paliathanasis. 2021-01-28. Lie symmetry analysis and similarity solutions for the Camassa-Choi equations. https://doi.org/10.1007/s13324-021-00492-6

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