Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps
نویسندگان
چکیده
The Q1 lattice equation, a member in the Adler-Bobenko-Suris list of 3D consistent lattices, is investigated. By using multidimensional consistency, novel Lax pair for equation given, which can be nonlinearised to produce integrable symplectic maps. Consequently, Riemann theta function expression discrete potential derived with help Baker-Akhiezer functions. This leads algebro-geometric integration based on commutativity phase flows generated from iteration
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2021
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/abddca