Transformations of ordinary differential equations via Darboux transformation technique

Details Transformations of ordinary differential equations via Darboux transformation technique Transformations of ordinary differential equations via Darboux transformation technique

2000-01-14

arxiv.org/abs/math-ph/0001021v2

Reports on Mathematical Physics, 2000, v.46, N.1/2, 279-286

Physics

Mathematical Physics

7 pages, LaTeX2e

Scientific paper

10.1016/S0034-4877(01)80033-1

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.

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