The goal of this article is to compute conservation law, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation using the homotopy operator, the $\mu$-symmetry method and the variational problem method. The generalized Rosenau-type equation includes the generalized Rosenau equation, the generalized Rosenau-RLW equation and the generalized Rosenau-KdV equation, which admits the third-order Lagrangian. The article also compares the conservation law and the $\mu$-conservation law of these three equation.
Goodarzi, K. (2023). Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2023.22352.1154
MLA
khodayar Goodarzi. "Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation". AUT Journal of Mathematics and Computing, , , 2023, -. doi: 10.22060/ajmc.2023.22352.1154
HARVARD
Goodarzi, K. (2023). 'Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2023.22352.1154
VANCOUVER
Goodarzi, K. Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation. AUT Journal of Mathematics and Computing, 2023; (): -. doi: 10.22060/ajmc.2023.22352.1154