@article {
author = {Goodarzi, Khodayar},
title = {Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation},
journal = {AUT Journal of Mathematics and Computing},
volume = {5},
number = {3},
pages = {257-265},
year = {2024},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2023.22352.1154},
abstract = {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. },
keywords = {$\mu$-symmetry,conservation law,$\mu$-conservation law,Lagrangian,variational problem},
url = {https://ajmc.aut.ac.ir/article_5197.html},
eprint = {https://ajmc.aut.ac.ir/article_5197_8e0d7e98e9d0ca66404437763f4d7253.pdf}
}