Algebro-Geometric Solutions of TD Type Equations
Starting from the 2 × 2 matrix spectral problem, a new hierarchy is derived, which contains both positive and negative flows. An algebraic curves KN
with genus N is introduced, on which we construct the meromorphic function φ and Baker-Akhiezer
vector ψ¯, and discuss their properties, furthermore, the Abel-Jacobi coordinates are introduced to straighten out the corresponding flows. From which algebro-geometric solutions for the first few members of the hierarchy are got.
Keywords: Algebro-Geometric Solutions; Meromorphic Function; Negative Flow; Riemann-Theta Function
Document Type: Research Article
Affiliations: Department of Mathematics, Shanghai University, Shanghai 200444, China
Publication date: 01 January 2016
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