%0 Journal Article
%T A systematic method of finding linearizing transformations for nonlinear ordinary differential equations: II. Extension to coupled ODEs
%A V. K. Chandrasekar
%A M. Senthilvelan
%A M. Lakshmanan
%J Physics
%D 2012
%I arXiv
%X In this second paper on the method of deriving linearizing transformations for nonlinear ODEs, we extend the method to a set of two coupled second order nonlinear ODEs. We show that besides the conventional point, Sundman and generalized linearizing transformations one can also find a large class of mixed or hybrid type linearizing transformations like point-Sundman, point-generalized linearizing transformation and Sundman-generalized linearizing transformation in coupled second order ODEs using the integrals of motion. We propose suitable algorithms to identify all these transformations (with maximal in number) in a straightforward manner. We illustrate the method of deriving each one of the linearizing transformations with a suitable example.
%U http://arxiv.org/abs/1201.5445v1