About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 702382, 3 pages
http://dx.doi.org/10.1155/2013/702382
Research Article

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

Uludag University, Faculty of Arts and Sciences, Department of Mathematics, P.O. Box 16059, Görükle, Bursa, Turkey

Received 18 February 2013; Revised 18 May 2013; Accepted 20 May 2013

Academic Editor: Patricia J. Y. Wong

Copyright © 2013 Emrullah Yaşar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. Guha, B. Khanra, and A. G. Choudhury, “On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type,” Nonlinear Analysis: Theory and Methods, vol. 72, no. 7-8, pp. 3247–3257, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. A. G. Choudhury and P. Guha, “On isochronous cases of the Cherkas system and Jacobi's last multiplier,” Journal of Physics A, vol. 43, no. 12, Article ID 125202, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  3. M. S. Bruzon, M. L. Gandarias, and M. Senthilvelan, “On the nonlocal symmetries of certain nonlinear oscillators and their general solution,” Physics Letters A, vol. 375, no. 33, pp. 2985–2987, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. Z. E. Musielak, “Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients,” Journal of Physics A, vol. 41, no. 5, Article ID 055205, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet