Variational principles and conservation laws to the Burridge-Knopoff equation

Yasar E.

NONLINEAR DYNAMICS, vol.54, no.4, pp.307-312, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1007/s11071-008-9330-x
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.307-312
  • Keywords: 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.