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arxiv: nlin/0203050 · v1 · submitted 2002-03-25 · 🌊 nlin.SI

M\"obius Symmetry of Discrete Time Soliton Equations

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keywords equationssolitondifferencediscretemethodcharacterizederiveequation
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We have proposed, in our previous papers, a method to characterize integrable discrete soliton equations. In this paper we generalize the method further and obtain a $q$-difference Toda equation, from which we can derive various $q$-difference soliton equations by reductions.

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