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

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

2005-10-20

arxiv.org/abs/nlin/0510045v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

10.1088/0305-4470/39/3/L01

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.

Affiliated with

Also associated with

No associations

Rating

A unification in the theory of linearization of second order nonlinear ordinary differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A unification in the theory of linearization of second order nonlinear ordinary differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A unification in the theory of linearization of second order nonlinear ordinary differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475804