جستجوی مقالات مرتبط با کلیدواژه « Variational problem » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه «Variational problem» در نشریات گروه «علوم پایه»-
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}
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This work is intended to compute the µ-symmetry and µ-conservation laws for the Cammasa-Holm (CH) equation and the Hunter-Saxton (HS) equation. In other words, µ-symmetry, µ-symmetry reduction, variational problem, and µ-conservation laws for the CH equation and the HS equation are provided. Since the CH equation and the HS equation are of odd order, they do not admit a variational problem. First we obtain µ-conservation laws for both of them in potential form because they admit a variational problem and then using them, we obtain µ-conservation laws for the CH equation and the HS equation.Keywords: µ-Symmetry, conservation law, µ-Conservation law, variational problem, order reduction}
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هدف از این مقاله، محاسبه کاهش مرتبه معادله تعمیم یافته mKdV با ضرایب ثابت و متغیر به روش مو-تقارن است. بعلاوه، مو- قانون بقا و لاگرانژین معادله تعمیم یافته mKdV با ضرایب ثابت و متغیر، با استفاده از روش مسیله تغیراتی بدست می آید.
کلید واژگان: تقارن, مو-تقارن, مو-قانون بقا, مسئله تغیراتی, کاهش مرتبه}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.
Keywords: Symmetry, $mu$-symmetry, $mu$-conservation law, Variational problem, Order reduction} -
In this paper, we have introduced efficiency of order m for a class of non-differentiable multi-objective variational problems in which every component of the objective and constraint function contains a term involving the square root of a certain positive semidefinite quadratic form. Necessary optimality conditions are obtained for this solution concept . Parametric dual of non-differentiable multi-objective fractional variational problem is proposed. Duality theorems are proved to relate efficient solutions of order m for primal problem and its dual. These results are obtained using generalized
Keywords: Multiobjective, Non-differentiable, Fractional, Variational problem, Efficiency of higher order, Invexity, Optimality, Duality} -
The goal of this paper is to calculate of order reduction of the KdV type equation and the non-isospectral KdV type equation using the μ-symmetry method.
Moreover we obtain μ-conservation law of the non-isospectral KdV type equation using the variational problem method.Keywords: Symmetry, ?-symmetry, ?-conservation law, variational problem, Order reduction}
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