Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation

	Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation
AUT Journal of Mathematics and Computing
دوره 5، شماره 3، 2024، صفحه 257-265 اصل مقاله (466.02 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22352.1154
نویسنده
Khodayar Goodarzi^*
Department of Mathematics, Broujerd Branch, Islamic Azad University, Broujerd, Iran
چکیده
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.
کلیدواژه‌ها
$\mu$-symmetry؛ Conservation law؛ $\mu$-conservation law؛ Lagrangian؛ Variational problem
مراجع

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