Jan L Cieśliński and Waldemar Biernacki 2005 J. Phys. A: Math. Gen. 38 9491 doi:10.1088/0305-4470/38/43/006
Jan L Cieśliński1 and Waldemar Biernacki2
Show affiliationsWe present a new approach to the construction of the Darboux matrix. This is a generalization of a recently formulated method based on the assumption that the square of the Darboux matrix vanishes for some values of the spectral parameter. We consider the multisoliton case, the reduction problem and the discrete case. The relationships between our approach, the Zakharov–Shabat dressing method and the Neugebauer–Meinel method are discussed in detail.
37K35 Lie-Bäcklund and other transformations
Issue 43 (28 October 2005)
Received 8 June 2005, in final form 19 September 2005
Published 12 October 2005
Jan L Cieśliński and Waldemar Biernacki 2005 J. Phys. A: Math. Gen. 38 9491
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