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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Autor/es
Bruzón Gallego, María de los SantosAutoridad UCA; Recio Rodríguez, ElenaAutoridad UCA; Garrido Letrán, Tamara MaríaAutoridad UCA; Rosa Silva, Rafael de laAutoridad UCA
Fecha
2020
Departamento/s
Matemáticas
Fuente
Discrete and Continuous Dynamical Systems Series S - 2020, Vol. 13, n. 10, pp. 2691-2701
Resumen
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.
Materias
Quasilinear KdV; Lie point symmetries; Conservation laws; Conserved quantities; Travelling wave solutions
Colecciones
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional