93 citations · 735 across the 66 of their papers we have counts for
7 papers · 1 filter
Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation
Shangshuai Li, Changzheng Qu, Xiangxuan Yi +1
The Cauchy matrix approach is developed to solve the SU(2) self-dual Yang--Mills equation. Starting from a Sylvester matrix equation coupled with certain dispersion relation for in…
Algebro-geometric solutions to the lattice potential modified Kadomtsev--Petviashvili equation
Xiaoxue Xu, Cewen Cao, Da-jun Zhang
Algebro-geometric solutions of the lattice potential modified Kadomtsev-Petviashvili (lpmKP) equation are constructed. A Darboux transformation of the Kaup--Newell spectral problem…
Solutions to integrable space-time shifted nonlocal equations
Shi-min Liu, Jing Wang, Da-jun Zhang
In this paper we present a reduction technique based on bilinearization and double Wronskians (or double Casoratians) to obtain explicit multi-soliton solutions for the integrable…
A Revisit to the ABS H2 Equation
Aye Aye Cho, Maebel Mesfun, Da-Jun Zhang
In this paper we revisit the Adler-Bobenko-Suris H2 equation. The H2 equation is linearly related to the and variables in the Cauchy matrix scheme. We elabo…
The Fokas-Lenells equations: Bilinear approach
Shu-zhi Liu, Jing Wang, Da-jun Zhang
In this paper, the Fokas-Lenells equations are investigated via bilinear approach. We bilinearize the unreduced Fokas-Lenells system, derive double Wronskian solutions, and then, b…
Integrability of auto-Bäcklund transformations,and solutions of a torqued ABS equation
Xueli Wei, Peter H. van der Kamp, Da-jun Zhang
An auto-Bäcklund transformation for the quad equation is considered as a discrete equation, called , which is a so called torqued version of $\mathrm…