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arXiv · 2402.04484

Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion

María de los Santos Bruzón·Elena Recio·Tamara María Garrido·Rafael de la Rosa
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Abstract

We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The corresponding interpretation of symmetry transformation groups are given. In addition, a physical description of the conserved quantities is included. Finally, few travelling wave solutions have been obtained.

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María de los Santos Bruzón, Elena Recio, Tamara María Garrido, Rafael de la Rosa. 2024-02-07. Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion. https://doi.org/10.3934/dcdss.2020222

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