The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov [11, 12] on the Mumford system to its variants. The other is to establish a relation between the Mumford system and the isospectral limit Qg(I) and Q g(II) of the Noumi-Yamada system . As a consequence, we prove the algebraically completely integrability of the systems Q g(I) and Qg(II) , and get explicit descriptions of their solutions.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics