On the nonlinear self-adjointness of a class of fourth-order evolution equations

R. Tracinà, M.S. Bruzón and M.L. Gandarias

Applied Mathematics and Computation, 2016, vol. 275, issue C, 299-304

Abstract: In this paper we study the property of nonlinear self-adjointness for a class of nonlinear fourth-order equation. It is shown that if an equation itself is a conservation law then it possesses the property of nonlinear self-adjointness and hence it can be rewritten in an equivalent strictly self-adjoint form. The property of nonlinear self-adjointness is used to obtain all nontrivial conservation laws for the class under consideration.

Keywords: Adjoint equation to nonlinear equations; Lagrangians; Conservation laws (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:299-304

DOI: 10.1016/j.amc.2015.11.079

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