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- Title
Explicit Solutions of the Coupled Bogoyavlensky Lattice 1(2) Hierarchy.
- Authors
Geng, Xianguo; Liu, Wei; Xue, Bo
- Abstract
By means of the discrete zero curvature representation, the coupled Bogoyavlensky lattice 1(2) hierarchy related to a 3 × 3 matrix problem is derived. Resorting to the characteristic polynomial of Lax matrix for the lattice hierarchy, we introduce a trigonal curve K m - 1 of arithmetic genus m - 1 and construct the related Baker–Akhiezer function and meromorphic function. By analyzing the asymptotic expansion of the meromorphic function, the algebro-geometric solutions to the stationary coupled Bogoyavlensky lattice 1(2) are obtained. Moreover, the explicit theta function representations for the coupled Bogoyavlensky lattice hierarchy are given with the help of the Abelian differential.
- Publication
Results in Mathematics / Resultate der Mathematik, 2021, Vol 76, Issue 2, p1
- ISSN
1422-6383
- Publication type
Article
- DOI
10.1007/s00025-021-01379-5