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| Darboux Transformations Associated with Boiti-Tu Eigenvalue Problem |
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Citation： |
Li Yishen,Gu Xinshen.Darboux Transformations Associated with Boiti-Tu Eigenvalue Problem[J].Chinese Annals of Mathematics B,1987,8(2):208~225 |
| Page view： 774
Net amount： 682 |
Authors： |
Li Yishen; Gu Xinshen |
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| Abstract： |
To the hierarchy of nonlinear evolution equations which associate with Boiti-Tu eigenvalue problem, an explicit and universal form of Baeklund transformations and auniversal proof are presented. It is called Darboux transformation. By this method, to ask for a new solution of every system of equations of the hierarchy, it is sufficient to solve some linear problems. Here the constraints at the boundary for the potentials (for example, at x=\pm \infinity) are removed. |
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