Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation
Publish Year: 1402
Type: Journal paper
Language: English
View: 182
This Paper With 13 Page And PDF Format Ready To Download
- Certificate
- I'm the author of the paper
Export:
Document National Code:
JR_CMDE-11-2_015
Index date: 17 April 2023
Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation abstract
In this paper, we use a geometric approach based on the concepts of variational principle and moving frames to obtain the conservation laws related to the one-dimensional nonlinear Klein-Gordon equation. Noether’s First Theorem guarantees conservation laws, provided that the Lagrangian is invariant under a Lie group action. So, for calculating conservation laws of the Klein-Gordon equation, we first present a Lagrangian whose Euler-Lagrange equation is the Klein-Gordon equation, and then according to Gon¸calves and Mansfield’s method, we obtain the space of conservation laws in terms of vectors of invariants and the adjoint representation of a moving frame, for that Lagrangian, which is invariant under a hyperbolic group action.
Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation Keywords:
Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation authors
Yousef Masoudi
Department of Mathematics, Islamic Azad University, Naghadeh Branch, 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.
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :