On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations

Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2009) On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 465 (2108). pp. 2369-2389. ISSN 0962-8444

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Official URL: http://rspa.royalsocietypublishing.org/content/465...

Related URL: http://dx.doi.org/10.1098/rspa.2009.0041

Abstract

Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe a simple and straightforward method to derive linearizing transformations for a class of two coupled SNODEs. Our procedure gives several new types of linearizing transformations of both invertible and non-invertible kinds. In both cases, we provide algorithms to derive the general solution of the given SNODE. We illustrate the theory with potentially important examples.

Item Type:Article
Source:Copyright of this article belongs to Royal Society Publishing.
Keywords:Nonlinear Differential Equations; Coupled Second-order Ordinary Differential Equations; Integrability; Linearization
ID Code:19363
Deposited On:22 Nov 2010 12:43
Last Modified:17 May 2016 03:55

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