The integrability and parametric representation of a hierarchy of soliton equations |
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| Authors: | Zhang Lei Shi Qiyan |
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| Affiliation: | (1) Department of Mathematics, Zhongshan University, 510275 Guangzhou, China;(2) Department of Mathematics, Peking University, 100871 Beijing, China |
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| Abstract: | The parametric representation for finite-band solutions of a stationary soliton equation is discussed. This parametric representation can be represented as a Hamiltonian system which is integrable in Liouville sense. The nonconfocal involutive integral representations {Fm} are obtained also The finite-band solutions of the soliton equation can be represented as the solutions of two set of ordinary differential equations. |
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| Keywords: | Soliton equation Hamiltonian system Liouvill integrable finite-band solution |
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