On the GBDT version of the Bäcklund-Darboux transformation and its applications to the linear and nonlinear equations and Weyl theory

نویسنده

  • A. L. Sakhnovich
چکیده

A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems rationally depending on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Diractype systems, including systems with singularities, and for the system auxiliary to the N -wave equation are reviewed. New results on explicit construction of the wave functions for radial Dirac equation are obtained. 2010 MSC: 37K35, 34B20, 47A48, 37K10, 47A40

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تاریخ انتشار 2009