On a generalized variable-coefficient Gardner equation with linear damping and dissipative terms

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URI: http://hdl.handle.net/10498/33315

DOI: 10.1002/mma.4732

ISSN: 1099-1476

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Author/s
Rosa Silva, Rafael de laAuthority UCA; Recio Rodríguez, ElenaAuthority UCA; Garrido Letrán, Tamara MaríaAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2018
Department
Matemáticas
Source
Mathematical Methods in the Applied Sciences - 41 (2018) 7158–7169
Abstract
In this paper, a generalized variable-coefficientGardner equationwhich involves a linear damping term and a dissipative term is studied. This equation broadens out a large number of equations previously considered. The equivalence group is used to simplify the analysis of the equation. The gauging of arbitrary elements of the family allows us to perform an exhaustive study of the Lie symmetries admitted by the family. Finally, by means of the multiplier method, we classify all low-order conservation laws of the equations that have been obtained by applying the gauging
Subjects
conservation laws; equivalence transformations; multipliers method; symmetries; partial differential equations
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional