Nonlinear self-adjointness of a class of third order nonlinear dispersive equations

摘要

In this paper we carry out a nonlinear self-adjoint classification with differential substitutions of a class of dispersive equations with three arbitrary functions. As a particular case, we obtain the sub families of the C-1 (m, a + b) equations which are nonlinearly self-adjoint. Conservation laws for these last families are established using the techniques for finding conserved vectors proposed by Ibragimov. (C) 2015 Elsevier B.V. All rights reserved.