Journal
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Volume 27, Issue 4, Pages 633-646Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14029251.2020.1819608
Keywords
lattice Schwarzian Korteweg-de Vries equation; integrable symplectic map; finite genus solution
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Funding
- National Natural Science Foundation of China [11426206, 11501521]
- State Scholarship Found of China (CSC) [201907045035]
- Graduate Student Education Research Foundation of Zhengzhou University [YJSXWKC201913]
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Based on integrable Hamiltonian systems related to the derivative Schwarzian Korteweg-de Vries (SKdV) equation, a novel discrete Lax pair for the lattice SKdV (lSKdV) equation is given by two copies of a Darboux transformation which can be used to derive an integrable symplectic correspondence. Resorting to the dis- crete version of Liouville-Arnold theorem, finite genus solutions to the lSKdV equation are calculated through Riemann surface method.
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