Algebra-geometric constructions of a (2+1)-dimensional discrete integrable model

作者:Ma Yunling*; Su Ting
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(32): 325203.
DOI:10.1088/1751-8113/43/32/325203

摘要

A new (2+1)-dimensional differential-difference equation is considered. With the aid of the nonlinearization of the Lax pair, the (2+1)-dimensional differential-difference equation is decomposed into a new integrable symplectic map and a class of finite-dimensional integrable Hamiltonian systems. Based on the theory of algebra curve, the continuous flow and discrete flow are straightened out in view of the introduced Abel-Jacobi coordinates.

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