A new approach to the Darboux-Backlund transformation versus the standard dressing method

Details A new approach to the Darboux-Backlund transformation versus the standard dressing method A new approach to the Darboux-Backlund transformation versus the standard dressing method

2005-06-08

arxiv.org/abs/nlin/0506016v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/0305-4470/38/43/006

We present a new approach to the construction of the Darboux matrix. This is a generalization of the 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 relationship between our approach and the standard dressing method is discussed in detail.

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