Rational Solutions to the ABS List: Transformation Approach

Symmetry Integrability and Geometry-Methods and Applications

article

Danda ZhangDa-Jun Zhang¹ 

[1] Department of Mathematics, Shanghai University

关键词: rational solutions;    B¨acklund transformation;    Casoratian;    ABS list;   

DOI  :  10.3842/SIGMA.2017.078

来源: National Academy of Science of Ukraine

【 摘 要 】

In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1($\delta$), H3($\delta$), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified $\tau$ function in Casoratian form which obeys a bilinear superposition formula.

【 授权许可】

Unknown