183 citations · 1.6k across the 57 of their papers we have counts for
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A new integrable discrete generalized nonlinear Schrodinger equation and its reductions
Hongmin Li, Yuqi Li, Yong Chen
A new integrable discrete system is constructed and studied, based on the algebraization of the difference operator. The model is named the discrete generalized nonlinear Schroding…
Generalized Darboux transformation and localized waves in coupled Hirota equations
Xin Wang, Yuqi Li, Yong Chen
In this paper, we construct a generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and in…
Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
Jian Xu, Engui Fan
We consider the Cauchy problem for the Gerdjikov-Ivanov(GI) type of the derivative nonlinear Schrödinger (DNLS) equation: with…
Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications
Junchao Chen, Xiangpeng Xin, Yong Chen
The nonlocal symmetry is derived from the known Darboux transformation (DT) of the Hirota-Satsuma coupled KdV (HS-cKdV) system, and infinitely many nonlocal symmetries are obtained…