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arXiv · 1505.01641

Generalized Baecklund-Darboux transformation: conservation laws, rational extensions and bispectrality

Alexander Sakhnovich
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Abstract

Baecklund-Darboux transformations are closely related to the integrability and symmetry problems. For the generalized Baecklund-Darboux transformation (GBDT), we consider conservation laws, rational extensions and bispectrality. We use the case of the nonlinear optics equation (and its auxiliary linear system) as an example.

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Alexander Sakhnovich. 2015-05-07. Generalized Baecklund-Darboux transformation: conservation laws, rational extensions and bispectrality. https://doi.org/10.1088/1742-6596/621/1/012013

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