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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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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DOI: https://doi.org/10.1007/s13324-021-00492-6