Solutions of a Class of Duffing Oscillators with Variable Coefficients

Estevez P. G., KURU Ş., Negro J., Nieto L. M.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.50, sa.7, ss.2046-2056, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10773-010-0560-6
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2046-2056
  • Anahtar Kelimeler: Duffing equations, Factorization technique, TRAVELING-WAVE SOLUTIONS, DE-VRIES-BURGERS, DIFFERENTIAL-EQUATIONS, CHAOS
  • Ankara Üniversitesi Adresli: Evet

Özet

The solutions of a class of nonlinear second-order differential equations with a cubic term in the dependent variable being related to Duffing oscillators are obtained by means of the factorization technique. The Lagrangian, the Hamiltonian and the constant of motion are also found through a correspondence with an autonomous system. A physical example is worked out in this frame.