Variational principles and conservation laws to the Burridge-Knopoff equation

Yasar E.

NONLINEAR DYNAMICS, cilt.54, sa.4, ss.307-312, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s11071-008-9330-x
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.307-312
  • Anahtar Kelimeler: Adjoint equation, Burridge-Knopoff equation, Conservation laws, Lagrangian, Nonlocal variables, Symmetries, SYMMETRIES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.