20 citations · 24 across the 6 of their papers we have counts for
7 papers
Solutions of local and nonlocal discrete complex modified Korteweg-de Vries equations and continuum limits
Ya-Nan Hu, Shou-Feng Shen, Song-lin Zhao
Cauchy matrix approach for the discrete Ablowitz-Kaup-Newell-Segur equations is reconsidered, where two `proper' discrete Ablowitz-Kaup-Newell-Segur equations and two `unproper' di…
Compound WKI-SP hierarchy and multiloop soliton solutions
Xiaorui Hu, Tianle Xu, Junyang Zhang +1
The generalized hierarchies of compound WKI-SP (Wadati-Konno-Ichikawa and short pulse) equations are presented. The proposed integrable nonlinear equations include the WKI-type equ…
Solutions and continuum limits to nonlocal discrete modified Korteweg de-Vries equations
Song-lin Zhao, Xiao-bo Xiang, Shou-feng Shen
In this paper, we take advantage of the bilinearization reduction method to consider the local and nonlocal reduction of a discrete Ablowitz-Kaup-Newell-Segur equation. Exact solut…
Integrable nonlocal complex mKdV equation: soliton solution and gauge equivalence
Li-Yuan Ma, Shou-Feng Shen, Zuo-Nong Zhu
In this paper, we prove that the nonlocal complex modified Korteweg-de Vries (mKdV) equation introduced by Ablowitz and Musslimani [Nonlinearity, 29, 915-946 (2016)] is gauge equiv…
Quasideterminant solutions to a noncommutative -difference two-dimensional Toda lattice equation
Chun-Xia Li, Jonathan Nimmo, Shou-Feng Shen
In [1], a generalized type of Darboux transformations defined in terms of a twisted derivation was constructed in a unified form. Such twisted derivations include regular derivatio…
Integrable generalizations of the two new soliton hierarchies of AKNS and KN types associated with
Chun-Xia Li, Shou-Feng Shen, Wen-Xiu Ma +1
The two matrix spectral problems of Ablowitz-Kaup-Newell-Segur (AKNS) and Kaup-Newell (KN) types associated with so(3,R) are generalized. The corresponding hierarchies of generaliz…