Abstract
We present the Darboux transformation and the N-soliton solution for the multi-component integrable equations which are associated with the Hermitian symmetric spaces. Using the Darboux covariance, we derive new integrable equations as well as known ones including the multi-component extensions of the nonlinear Schrödinger, the modified KdV, the SIT and the sine-Gordon equations. We also derive a closed form of the N-soliton solution in terms of the generalized Crum's formula. The projection property of the Darboux transformation is explained.
Original language | English |
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Pages (from-to) | 1-15 |
Number of pages | 15 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 157 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2001 Sept 1 |
Externally published | Yes |
Keywords
- Crum's formula
- Darboux transformation
- N-soliton solution
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics