A new approach to the Darboux-Backlund transformation versus the standard dressing method
可精确求解与可积系统
2009-11-11 v1
摘要
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.
引用
@article{arxiv.nlin/0506016,
title = {A new approach to the Darboux-Backlund transformation versus the standard dressing method},
author = {J. L. Cieslinski and W. Biernacki},
journal= {arXiv preprint arXiv:nlin/0506016},
year = {2009}
}