Expanding Integrable Models and Their Some Reductions as Well as Darboux Transformations

@inproceedings{Feng2016ExpandingIM,
  title={Expanding Integrable Models and Their Some Reductions as Well as Darboux Transformations},
  author={Binlu Feng and Yiu Chung Hon},
  year={2016}
}
In this paper we first present a 3-dimensional Lie algebra H and enlarge it into a 6-dimensional Lie algebra T with corresponding loop algebras H̃ and T̃ , respectively. By using the loop algebra H̃ and the Tu scheme, we obtain an integrable hierarchy from which we derive a new Darboux transformation to produce a set of exact periodic solutions. With the loop algebra T̃ , a new integrable-coupling hierarchy is obtained and reduced to some variable-coefficient nonlinear equations, whose… CONTINUE READING