A unification in the theory of linearization of second-order nonlinear ordinary differential equations

Chandrasekar, V. K. ; Senthilvelan, M. ; Lakshmanan, M. (2006) A unification in the theory of linearization of second-order nonlinear ordinary differential equations Journal of Physics A: Mathematical & General, 39 (3). L69-L76. ISSN 1751-8121

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Official URL: http://iopscience.iop.org/0305-4470/39/3/L01

Related URL: http://dx.doi.org/10.1088/0305-4470/39/3/L01

Abstract

In this letter, we introduce a new generalized linearizing transformation (GLT) for second-order nonlinear ordinary differential equations (SNODEs). The well-known invertible point (IPT) and non-point transformations (NPT) can be derived as sub-cases of the GLT. A wider class of nonlinear ODEs that cannot be linearized through NPT and IPT can be linearized by this GLT. We also illustrate how to construct GLTs and to identify the form of the linearizable equations and propose a procedure to derive the general solution from this GLT for the SNODEs. We demonstrate the theory with two examples which are of contemporary interest.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
ID Code:19495
Deposited On:22 Nov 2010 12:30
Last Modified:17 May 2016 04:02

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