| Abstract: |
| Resorting to the characteristic polynomial of Lax matrix for the Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker-Akhiezer function and meromorphic function are introduced. With the help of the theory of trigonal curve and three kinds of Abelian differentials, we obtain the explicitRiemann theta function representations of the meromorphic function, from which we get the quasi-periodic solutions for the entire
Dym-type hierarchy. |
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