A review on some results on local conservation laws for certain evolution equations

Abstract

In this work we revisit some recent results on conservation laws for a class of fifth-order evolution equations up to fifth-order.

Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations

“…Recently [15], we considered a class of time dependent equations up to fifth-order and we obtained necessary and sufficient conditions for determining the nonlinearly selfadjoint subclasses. Nonlinear self-adjointness of equations up to fifth-order can also be found in [16][17][18].…”