Algebro-geometric solutions for the two-component Camassa–Holm Dym hierarchy

Yu Hou and Engui Fan

Chaos, Solitons & Fractals, 2014, vol. 67, issue C, 43-57

Abstract: This paper is dedicated to provide theta function representations of algebro-geometric solutions and related crucial quantities for the two-component Camassa–Holm Dym (CHD2) hierarchy. Our main tools include the polynomial recursive formalism, the hyperelliptic curve with finite number of genus, the Baker–Akhiezer functions, the meromorphic function, the Dubrovin-type equations for auxiliary divisors, and the associated trace formulas. With the help of these tools, the explicit representations of the algebro-geometric solutions are obtained for the entire CHD2 hierarchy.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:67:y:2014:i:c:p:43-57

DOI: 10.1016/j.chaos.2014.06.009

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