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Order Reduction, $\mu$-Symmetry and $\mu$-Conservation Law of The Generalized mKdV Equation with Constant-coefficients and Variable-coefficients | ||
| International Journal of Industrial Mathematics | ||
| دوره 14، شماره 4، آذر 2022، صفحه 433-444 اصل مقاله (330.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.30495/ijim.2022.64041.1556 | ||
| نویسنده | ||
kh. - Goodarzi 
| ||
| Department of Mathematics, Borujerd Branch, Islamic Azad University, Borujerd, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Symmetry؛ $mu$-symmetry؛ $mu$-conservation law؛ Variational problem؛ Order reduction | ||
| مراجع | ||
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