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

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URI: http://hdl.handle.net/10498/30801

DOI: 10.3934/dcdss.2020222

ISSN: 1937-1179

ISSN: 1937-1632

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Author/s
Bruzón Gallego, María de los SantosAuthority UCA; Recio Rodríguez, ElenaAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Rosa Silva, Rafael de laAuthority UCA
Date
2020
Department
Matemáticas
Source
Discrete and Continuous Dynamical Systems Series S - 2020, Vol. 13, n. 10, pp. 2691-2701
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.
Subjects
Quasilinear KdV; Lie point symmetries; Conservation laws; Conserved quantities; Travelling wave solutions
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional