Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1696

 Title: On the Transformations of Symplectic Expansions and the Respective Bäcklund Transformation for the KDV Equation Authors: Khristov, E. Keywords: Symplectic ExpantionKdV EquationBäcklund Transformation Issue Date: 2003 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 29, No 1, (2003), 75p-94p Abstract: By using the Deift–Trubowitz transformations for adding or removing bound states to the spectrum of the Schrödinger operator on the line we construct a simple algorithm allowing one to reduce the problem of deriving symplectic expansions to its simplest case when the spectrum is purely continuous, and vice versa. We also obtain the transformation formulas for the correponding recursion operator. As an illustration of this approach, the Bäcklund transformations for the KdV equation are constructed. Description: 2000 Mathematics Subject Classification: Primary: 34B40; secondary: 35Q51, 35Q53 URI: http://hdl.handle.net/10525/1696 ISSN: 1310-6600 Appears in Collections: Volume 29 Number 1

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