Article ID Journal Published Year Pages File Type
4629965 Applied Mathematics and Computation 2012 11 Pages PDF
Abstract

In this work we consider a class of third-order nonlinear partial differential equation containing two un-specified coefficient functions of the dependent variable which include various integrable and nonintegrable equations. We determine the subclasses of these equations which are self-adjoint and quasi self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov we find conservation laws for some of these partial differential equations without classical Lagrangians.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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