Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients

Details Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients

2001-02-18

arxiv.org/abs/nlin/0102019v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/34/11/318

We consider deformations of $2\times2$ and $3\times3$ matrix linear ODEs with rational coefficients with respect to singular points of Fuchsian type which don't satisfy the well-known system of Schlesinger equations (or its natural generalization). Some general statements concerning reducibility of such deformations for $2\times2$ ODEs are proved. An explicit example of the general non-Schlesinger deformation of $2\times2$-matrix ODE of the Fuchsian type with 4 singular points is constructed and application of such deformations to the construction of special solutions of the corresponding Schlesinger systems is discussed. Some examples of isomonodromy and non-isomonodromy deformations of $3\times3$ matrix ODEs are considered. The latter arise as the compatibility conditions with linear ODEs with non-singlevalued coefficients.

Affiliated with

Also associated with

No associations

Rating

Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients 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 Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200072