The concepts of strictly, quasi, weak, and nonlinearly self-adjoint differential equations are revisited. A nonlinear self-adjoint classification of a class of equations with second and third order is carried out.
Júlio Cesar Santos Sampaio. Igor Leite Freire. "Nonlinear Self-Adjoint Classification of a Burgers-KdV Family of Equations." Abstr. Appl. Anal. 2014 (SI55) 1 - 7, 2014. https://doi.org/10.1155/2014/804703