On the nonlocal symmetries of certain nonlinear oscillators and their general solution |
| |
| Authors: | MS BruzonML Gandarias M Senthilvelan |
| |
| Institution: | a Departamento de Matemáticas, Universidad de Cádiz, PO BOX 40, 11510 Puerto Real, Cádiz, Spain
b Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirappalli 620024, Tamil Nadu, India |
| |
| Abstract: | In this Letter we establish the integrability of two nonlinear oscillators through group theoretical method. We utilize the algorithm given in M.L. Gandarias, M.S. Bruzon, J. Nonlinear Math. Phys. 18 (2011) 123] and construct nonlocal symmetries for these two oscillators. From the knowledge of the latter we derive first integral and general solution for these two nonlinear nonpolynomial oscillator equations. |
| |
| Keywords: | Conditional symmetry Nonlocal symmetry Ordinary differential equation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
