%0 Journal Article
%T Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Goodarzi, Khodayar
%D 2024
%\ 07/01/2024
%V 5
%N 3
%P 257-265
%! Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation
%K $\mu$-symmetry
%K conservation law
%K $\mu$-conservation law
%K Lagrangian
%K variational problem
%R 10.22060/ajmc.2023.22352.1154
%X 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.
%U https://ajmc.aut.ac.ir/article_5197_8e0d7e98e9d0ca66404437763f4d7253.pdf