93 citations · 735 across the 66 of their papers we have counts for
67 papers
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…
Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter
Minghui Hu, Chao Zhang, Dajun Zhang +3
The phase of spins in the quasi-two-dimensional (q2D) XY model has emerged as a topic of significant interest across multiple subfields of physics. Conventional wisdom, rooted in t…
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…