TY - JOUR
ID - 5197
TI - Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Goodarzi, Khodayar
AD - Department of Mathematics, Broujerd Branch, Islamic Azad University, Broujerd, Iran
Y1 - 2024
PY - 2024
VL - 5
IS - 3
SP - 257
EP - 265
KW - $\mu$-symmetry
KW - conservation law
KW - $\mu$-conservation law
KW - Lagrangian
KW - variational problem
DO - 10.22060/ajmc.2023.22352.1154
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_5197.html
L1 - https://ajmc.aut.ac.ir/article_5197_8e0d7e98e9d0ca66404437763f4d7253.pdf
ER -