Revisit to solutions for Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations
Autor: | Yan, Ke, Sun, Ying-ying, Zhao, Song-lin |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Solutions for all Adler-Bobenko-Suris equations excluding Q4 and several lattice Boussinesq-type equations are reconsidered by employing the Cauchy matrix approach. Through introducing a ``fake'' nonautonomous plane wave factor, we derive soliton solutions, oscillatory solutions, and semi-oscillatory solutions, for the target lattice equations. Unlike the conventional soliton solutions, the oscillatory solutions take constant values on all elementary quadrilaterals on Z^2, which demonstrate periodic structure. Comment: 26 pages, 12 figures |
Databáze: | arXiv |
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