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arXiv:2402.03418 [math.AP]AbstractReferencesReviewsResources

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

Rafael de la Rosa, María Luz Gandarias, María de los Santos Bruzón

Published 2024-02-05Version 1

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 using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations.

Comments: 19 pages. arXiv admin note: text overlap with arXiv:2402.02601
Journal: Applied Mathematics and Computation, 290:125-134,2016
Categories: math.AP
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