Lie symmetry analysis and similarity solutions for the Camassa-Choi equations
arXiv:2101.11843 · doi:10.1007/s13324-021-00492-6
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.
12 pages, 1 figure, accepted for publication in Analysis and Mathematical Physics