Transformations of ordinary differential equations via Darboux transformation technique

Abstract

A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is proposed. The corresponding transformations of the solutions of the overdetermined linear systems are derived in the frameworks of the Darboux transformation technique.

7 pages, LaTeX2e

References in corpus (2)

• Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
• Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equations

Cited by in corpus (1)

• Coalescence, Deformation and Bäcklund Symmetries of Painlevé IV and II Equations