VII-th International Conference "SOLITONS, COLLAPSES AND TURBULENCE: Achievements, Developments and Perspectives" (SCT-14) in honor of Vladimir Zakharov's 75th birthday
August, 04-08, 2014
Chernogolovka, Russia

KPII: Cauchy--Jost function, Darboux transformations and totally nonnegative matrices
Date/Time: 09:30 07-Aug-2014
Properties of the Cauchy--Jost (know also as Cauchy--Baker--Akhiezer) function in the case of pure solitonic solution are discussed in detail. In terms of this function action of the Ba\"acklund transformation is derived. Transformation of an auxiliary totally nonnegative matrix parameterizing generic soliton solution under such transformations is given. Relation of the Ba\"acklund transformation with property of total nonnegativity property of matrices is discussed.

Pogrebkov Andrei K (Presenter)
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