Algebro-geometric Constructions of Quasi Periodic Flows of the Discrete Self-dual Network Hierarchy and Applications

In this paper we obtain the discrete integrable self-dual network hierarchy associated with a spectral problem. On basis of theory algebraic curves, continuous flow and related to are straightened using Abel-Jacobi coordinates. The meromorphic function Baker-Akhiezer introduced on hyperelliptic curve. Quasi-periodic solutions constructed help asymptotic properties algebra-geometric characters function,