Revisit to solutions for Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations

Autor:	Yan, Ke, Sun, Ying-ying, Zhao, Song-lin
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems 39A14
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
Externí odkaz:	http://arxiv.org/abs/2306.04867 Zobrazit plný text záznamu View this record from Arxiv