Connection between the symmetric discrete AKP system and bilinear ABS lattice equations
Exactly Solvable and Integrable Systems
2023-12-27 v1
Abstract
In this paper, we show that all the bilinear Adler-Bobenko-Suris (ABS) equations (except Q2 and Q4) can be obtained from symmetric discrete AKP system by taking proper reductions and continuum limits. Among the bilinear ABS equations, a simpler bilinear form of the ABS H2 equation is given. In addition, an 8-point 3-dimensional lattice equation and an 8-point 4-dimensional lattice equation are obtained as by-products. Both of them can be considered as extensions of the symmetric discrete AKP equation.
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Cite
@article{arxiv.2312.15669,
title = {Connection between the symmetric discrete AKP system and bilinear ABS lattice equations},
author = {Jing Wang and Da-jun Zhang and Ken-ichi Maruno},
journal= {arXiv preprint arXiv:2312.15669},
year = {2023}
}
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30 pages