## Algebro-geometric solutions with characteristics of a nonlinear partial differential equation with three-potential functions

- Yufeng ZHANG, Binlu FENG, Wenjuan RUI
- Commun. Theor. Phys.,
- 2015

@inproceedings{Feng2016ExpandingIM, title={Expanding Integrable Models and Their Some Reductions as Well as Darboux Transformations}, author={Binlu Feng and Yiu Chung Hon}, year={2016} }

- Published 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

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