28 citations · 51 across the 7 of their papers we have counts for
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Inverse scattering theory for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under arbitrarily large nonzero boundary conditions
Chuanxin Xu, Tao Xu
In this paper, the theory of inverse scattering transform (IST) is developed for the discrete PT-symmetric nonlocal nonlinear Schröinger equation under large nonzero boundary condi…
Rational solutions of the defocusing nonlocal nonlinear Schrodinger equation: Asymptotic analysis and soliton interactions
Tao Xu, Lingling Li, Min Li +2
In this paper, we obtain the Nth-order rational solutions for the defocusing nonlocal nonlinear Schrodinger equation by the Darboux transformation and some limit technique. Then, v…
Darboux transformation and soliton solutions of the semi-discrete massive Thirring model
Tao Xu, Dmitry E. Pelinovsky
A one-fold Darboux transformation between solutions of the semi-discrete massive Thirring model is derived using the Lax pair and dressing methods. This transformation is used to f…
General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system
Tao Xu, Yang Chen, Min Li +1
With the stationary solution assumption, we establish the connection between the nonlocal nonlinear Schrödinger (NNLS) equation and an elliptic equation. Then, we obtain the genera…
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation
Tao Xu, Sha Lan, Min Li +2
By using the Darboux transformation, we obtain two new types of exponential-and-rational mixed soliton solutions for the defocusing nonlocal nonlinear Schrodinger equation. We reve…
Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations
Tao Xu, Yong Chen
The Darboux transformation of the three-component coupled derivative nonlinear Schrödinger equations is constructed, based on the special vector solution elaborately generated from…