On Noether's conservation laws of the Sine-Gordon equation using moving frames
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
View: 87
This Paper With 14 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJNAA-14-1_195
تاریخ نمایه سازی: 5 شهریور 1402
Abstract:
The wide significance of the problem of finding conservation laws in a great number of applications in mechanics and physics is beyond any doubt. The aim of this paper is to obtain conservation laws of the Sine-Gordon equation via the concept of moving frames and the variational principle. For this purpose, we first present a Lagrangian whose Euler-Lagrange equation is the Sine-Gordon equation, and then by Noether’s First Theorem and Mansfield’s method, we obtain the space of conservation laws in terms of invariants and the adjoint representation of a moving frame, for that Lagrangian, which is invariant under HRT group action.
Keywords:
Authors
Yousef Masoudi
Department of Mathematics, Naghadeh Branch, Islamic Azad University, Naghadeh, Iran
Mehdi Nadjafikhah
Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, ۱۶۸۴۶-۱۳۱۱۴, Iran
Megerdich Toomanian
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran