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Elliptic solutions of Boussinesq type lattice equations and the elliptic Nth root of unity
Elliptic solutions of Boussinesq type lattice equations and the elliptic Nth root of unity
演讲者
Da-Jun Zhang
时间
地点
A3-2a-302
线上
Zoom 638 227 8222
(BIMSA)
摘要
In the first part we will have a brief review of the lattice Boussinesq-type equations. In the second part we establish solutions in terms of elliptic functions of the lattice Boussinesq systems by setting up a direct linearisation scheme, which provides the solution structure for those equations in the elliptic case. The latter, which contains a Cauchy kernel on the torus, is obtained by introducing the so-called ‘elliptic cube root of unity’.
References:
[1] Jarmo Hietarinta, Da-jun Zhang, Discrete Boussinesq-type equations, arXiv:2012.00495.
[2] Frank W. Nijhoff, Ying-ying Sun, Da-jun Zhang, Elliptic solutions of Boussinesq type lattice equations and the elliptic Nth root of unity, Communications in Mathematical Physics, 399(2) (2003) 599-650.