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arXiv · 2312.15669

Connection between the symmetric discrete AKP system and bilinear ABS lattice equations

Jing Wang·Da-jun Zhang·Ken-ichi Maruno
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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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Jing Wang, Da-jun Zhang, Ken-ichi Maruno. 2023-12-25. Connection between the symmetric discrete AKP system and bilinear ABS lattice equations. https://arxiv.org/abs/2312.15669

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