NONLINEAR DYNAMICS, vol.54, no.4, pp.307-312, 2008 (Peer-Reviewed Journal)
Article / Article
Science Citation Index Expanded, Scopus
Adjoint equation, Burridge-Knopoff equation, Conservation laws, Lagrangian, Nonlocal variables, Symmetries, SYMMETRIES
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.