Dubrovin method and the Toda chain
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Abstract
A hierarchy of Lax pairs with 2 × 2 2\times 2 matrix coefficients is presented. The compatibility conditions for these pairs include the Toda chain equation, and other differential-difference integrable systems. Various kinds of finite gap solutions for such systems are constructed. Examples of simplest one- and two-phase solutions are given, together with the corresponding spectral curves.
Publisher
American Mathematical Society (AMS)
Reference25 articles.
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5. Matrix finite-gap operators;Dubrovin, B. A.,1983
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