A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators
Exactly Solvable and Integrable Systems
2013-09-13 v1 Mathematical Physics
math.MP
Abstract
In this paper, we present a method to identify integrable complex nonlinear oscillator systems and construct their solutions. For this purpose, we introduce two types of nonlocal transformations which relate specific classes of nonlinear complex ordinary differential equations (ODEs) with complex linear ODEs, thereby proving the integrability of the former. We also show how to construct the solutions using the two types of nonlocal transformations with several physically interesting cases as examples.
Cite
@article{arxiv.1309.3086,
title = {A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators},
author = {R. Mohanasubha and Jane H. Sheeba and V. K. Chandrasekar and M. Senthilvelan and M. Lakshmanan},
journal= {arXiv preprint arXiv:1309.3086},
year = {2013}
}
Comments
Accepted in Applied Mathematics and Computation