Cauchy matrix approach for H1^(a) equation in the torqued Adler–Bobenko–Suris lattice list  

作　　者：Jing Wang Song-lin Zhao Shoufeng Shen 

机构地区：[1]School of Mathematical Sciences,Zhejiang University of Technology,Hangzhou 310023,China

出　　处：《Communications in Theoretical Physics》2024年第10期1-6,共6页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 12071432);Zhejiang Provincial Natural Science Foundation (No. LZ24A010007)。

摘　　要：As a torqued version of the lattice potential Korteweg–de Vries equation, the H1^(a) is an integrable nonsymmetric lattice equation with only one spacing parameter. In this paper, we present the Cauchy matrix scheme for this equation. Soliton solutions, Jordan-block solutions and soliton-Jordan-block mixed solutions are constructed by solving the determining equation set. All the obtained solutions have jumping property between constant values for fixed n and demonstrate periodic structure.

关 键 词：torqued H1 equation Cauchy matrix scheme exact solutions 

分 类 号：O175[理学—数学]