6 citations · 6 across the 7 of their papers we have counts for
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The Lamé functions and elliptic soliton solutions: Bilinear approach
Xing Li, Da-jun Zhang
The Lamé function can be used to construct plane wave factors and solutions to the Korteweg-de Vries (KdV) and Kadomtsev-Petviashvili (KP) hierarchy. The solutions are usually call…
Symmetries of the DmKP hierarchy and their continuum limits
Jin Liu, Da-jun Zhang, Xuehui Zhao
In the recent paper [Stud. App. Math. 147 (2021) 752], squared eigenfunction symmetry constraint of the differential-difference modified Kadomtsev-Petviashvili (DmKP) hierarchy…
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…
On a Second Discretization of the ZS-AKNS Spectral Problem: Revisit
Kui Chen, Xiao Deng, Da-jun Zhang
In this paper we revisit a discrete spectral problem which was proposed by Ragnisco and Tu in 1989, as a second discretization of the ZS-AKNS spectral problem. We show that the spe…
Symmetries for the Ablowitz-Ladik hierarchy: II. Integrable discrete nonlinear Schrödinger equation and discrete AKNS hierarchy
Da-jun Zhang, Shou-ting Chen
In the paper we continue to consider symmetries related to the Ablowitz-Ladik hierarchy. We derive symmetries for the integrable discrete nonlinear Schrödinger hierarchy and discre…
Symmetries for the Ablowitz-Ladik hierarchy: I. Four-potential case
Da-jun Zhang, Shou-ting Chen
In the paper we first investigate symmetries of isospectral and non-isospectral four-potential Ablowitz-Ladik hierarchies. We express these hierarchies in the form of $u_{n,t}=L^m…