93 citations · 735 across the 66 of their papers we have counts for
66 papers · 1 filter
Lattice KP type equations arising from eigenfunctions and Dbar problem
Leilei Shi, Peter van der Kamp, Cheng Zhang +1
In this paper, we construct the lattice Kadomtsev-Petviashvili (KP) type eigenfunction equations. A homogeneous nonlocal problem is considered, from which we are a…
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…
Nonlinearization of bilinear equations of the sine-Gordon type, nonlinear Schrödinger type and Benjamin-Ono type
Jin Liu, Da-jun Zhang, Xin Zhang +1
This is a continuation of the paper [Commun. Theor. Phys., 77 (2025) 115006] on the nonlinearization of bilinear equations. The sine-Gordon type and nonlinear Schrödinger type bili…
Integrability and transformations in the bilinear method: An introduction
Da-jun Zhang
This is a partial review of the bilinear method, focusing on the integrability based on the 3-soliton-solution condition and the transformations between functions. \textit{Dedi…
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…
Connection between the symmetric discrete AKP system and bilinear ABS lattice equations
Jing Wang, Da-jun Zhang, Ken-ichi Maruno
In this paper, we show that all the bilinear Adler-Bobenko-Suris (ABS) equations (except Q2 and Q4) can be obtained from symmetric discrete AKP system by taking proper reductions a…