Order Reduction, $\mu$-Symmetry and $\mu$-Conservation Law of The Generalized mKdV Equation with Constant-coefficients and Variable-‎coefficients‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

kh. Goodarzi ¹

1 - Department of Mathematics, Borujerd Branch, Islamic Azad University, Borujerd, Iran.

تاريخ الإرسال : 23 الجمعة , ربيع الأول, 1443 تاريخ التأكيد : 26 السبت , ذو القعدة, 1443 تاريخ الإصدار : 05 الخميس , صفر, 1444

الکلمات المفتاحية: Order ‎reduction‎, $mu$-symmetry, S‎ymmetry, Variational problem, $mu$-conservation law,

ملخص المقالة :

The goal of this paper is to calculate the order reduction of the generalized mKdV equation with constant coefficients (gmKdVcc) and the generalized mKdV equation with variable-coefficients (gmKdVvc) using the mu-symmetry method. Moreover we obtain Lagrangian and mu-conservation law of the gmKdVcc equation and the gmKdVvc equation using the variational problem method.

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