Variational principles and conservation laws to the Burridge-Knopoff equation

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/27338

Title:	Variational principles and conservation laws to the Burridge-Knopoff equation
Authors:	Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0003-4732-5753 Yaşar, Emrullah AAG-9947-2021 23471031300
Keywords:	Adjoint equation Burridge-knopoff equation Conservation laws Lagrangian Nonlocal variables Symmetries Dynamics Mathematical models Variational techniques Adjoint equation Burridge-Knopoff equation Conservation laws Lagrangian Nonlocal variables Symmetries Nonlinear equations Engineering Mechanics
Issue Date:	Dec-2008
Publisher:	Springer
Citation:	Yaşar, E. (2008). "Variational principles and conservation laws to the Burridge-Knopoff equation". Nonlinear Dynamics, 54(4), 307-312.
Abstract:	We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of earthquake faults by a new conservation theorem proposed recently by Ibragimov. One can employ this new general theorem for every differential equation (or systems) and derive new local and nonlocal conservation laws. Nonlocal conservation laws comprise nonlocal variables defined by the adjoint equations to the Burridge-Knopoff equation.
URI:	https://doi.org/10.1007/s11071-008-9330-x https://link.springer.com/article/10.1007/s11071-008-9330-x http://hdl.handle.net/11452/27338
ISSN:	0924-090X 1573-269X
Appears in Collections:	Scopus Web of Science

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