On symmetries and conservation laws of a Gardner equation involving arbitrary functions

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URI: http://hdl.handle.net/10498/30668

DOI: 10.1016/j.amc.2016.05.050

ISSN: 0096-3003

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Author/s
Rosa Silva, Rafael de laAuthority UCA; Gandarias Núñez, María LuzAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2016
Department
Matemáticas
Source
Applied Mathematics and Computation, 2016, Vol. 290, pp. 125–134
Abstract
In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws by using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations.
Subjects
Adjoint equation to nonlinear equations; Conservation laws; Multipliers; Partial differential equations; Symmetries
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional