Darboux transformation of the generalized coupled dispersionless integrable system

@article{Hassan2009DarbouxTO,
  title={Darboux transformation of the generalized coupled dispersionless integrable system},
  author={M. I. Hassan},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2009},
  volume={42},
  pages={065203}
}
  • M. Hassan
  • Published 13 February 2009
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable system based on a non-Abelian Lie group is studied, and the solutions are shown to be expressed in terms of quasideterminants. As an explicit example, the Darboux transformation on scalar solutions to the system based on the Lie group SU(2) is discussed in detail, and the solutions are shown to be expressed as ratios of determinants. 
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