A Short Note on Nonlocal Transformations and First Integrals for Certain Nonlinear Oscillator Equations

Yasar, EMRULLAH

doi:10.1155/2013/702382

A Short Note on Nonlocal Transformations and First Integrals for Certain Nonlinear Oscillator Equations

Yasar E.

ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası:
Basım Tarihi: 2013
Doi Numarası: 10.1155/2013/702382
Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

This short note presents a simple and effective application of the generalized Sundman transformations and the Jacobi last multiplier approach for two nonlinear oscillator equations. We reobtain the first integrals with this method very easily. In addition, we also compute the Sundman symmetries and Lagrangians.