30 citations · 32 across the 8 of their papers we have counts for
9 papers
On equivalence between solution structures of the anti-self-dual Yang--Mills equations
Shangshuai Li
We establish an exact correspondence between the quasi-Wronskian and quasi-Grammian constructions for the anti-self-dual Yang--Mills (ASDYM) equations with complex \(2\times2\) mat…
Sato-theoretic construction of the anti-self-dual Yang-Mills hierarchy and the Ward conjecture
Shangshuai Li, Da-jun Zhang
We develop the Sato-theoretic dressing framework for the anti-self-dual Yang-Mills (ASDYM) hierarchy based on a normalized Riemann-Hilbert decomposition. A four-sector expansion of…
A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
We show a unified approach to the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the unreduced derivative nonlinear Schrödinger (DNLS) hierarchies (including the Kaup-Newell, Chen…
Soliton Resonances in Four Dimensional Wess-Zumino-Witten Model
Shangshuai Li, Masashi Hamanaka, Shan-Chi Huang +1
We present two kinds of resonance soliton solutions on the Ultrahyperbolic space for the G=U(2) Yang equation, which is equivalent to the anti-self-dual Yang-Mills (AS…
From the self-dual Yang-Mills equation to the Fokas-Lenells equation
Shangshuai Li, Shuzhi Liu, Da-jun Zhang
A reduction from the self-dual Yang-Mills (SDYM) equation to the unreduced Fokas-Lenells (FL) system is described in this paper. It has been known that the SDYM equation can be for…
Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces
Shangshuai Li, Da-jun Zhang
The paper establishes a direct linearization scheme for the SU(2) anti-self-dual Yang-Mills (ASDYM) equation.The scheme starts from a set of linear integral equations with general…
Solutions to the SU() self-dual Yang-Mills equation
Shangshuai Li, Changzheng Qu, Da-jun Zhang
In this paper we aim to derive solutions for the SU() self-dual Yang-Mills (SDYM) equation with arbitrary . A set of noncommutative relations are introduc…
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…
Symmetric discrete AKP and BKP equations
Shangshuai Li, Frank W. Nijhoff, Ying-ying Sun +1
We show that when KP (Kadomtsev-Petviashvili) functions allow special symmetries, the discrete BKP equation can be expressed as a linear combination of the discrete AKP equatio…