22 citations · 60 across the 16 of their papers we have counts for
16 papers
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…
Some Wadati-Konno-Ichikawa type integrable systems and their constructions
Shou-Feng Shen, Guo-Fang Wang, Yong-Yang Jin +1
A standard-form Wadati-Konno-Ichikawa(WKI) type integrable hierarchy is derived from a corresponding matrix spectral problem associated with the Lie algebra sl(2, R). Each equation…
Meshy soliton structures for (2+1)-dimensional integrable systems and interactions
Shoufeng Shen, Guofang Wang, Yongyang Jin
In this letter, we construct new meshy soliton structures by using two concrete (2+1)-dimensional integrable systems. The explicit expressions based on corresponding Cole-Hopf type…
Optimal Hardy inequalities associated with multipolar Schrödinger operators
Yongyang Jin, Li Tang, Can Ye +1
We proved some optimal Hardy inequalities in RNwhich is closely related to multipolar Schrödinger operators with mean-value type potentials, these sharp inequalities imply some mul…
Sharp Hardy-Rellich Type Inequalities Associated with Dunkl Operators
Li Tang, Haiting Chen, Shoufeng Shen +1
In this paper, we obtained the Dunkl analogy of classical Lp Hardy inequality for with sharp constant , where is the degree of…
Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling
Shoufeng Shen, Chunxia Li, Yongyang Jin +1
Integrable couplings are associated with non-semisimple Lie algebras. In this paper, we propose a new method to generate new integrable systems through making perturbation in matri…
From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation
Li-Yuan Ma, Shou-Feng Shen, Zuo-Nong Zhu
In this paper, we show that the nonlocal discrete focusing nonlinear Schrödinger (NLS) and nonlocal discrete defocusing NLS equation are gauge equivalent to the discrete coupled He…
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…
A generalized super integrable hierarchy of Dirac type
Yujian Ye, Zhihui Li, Shoufeng Shen +1
In this letter, a new generalized matrix spectral problem of Dirac type associated with the super Lie algebra is proposed and its corresponding super integrable…
A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system
Chun-Xia Li, Stéphane Lafortune, Shou-Feng Shen
We establish connections between two cascades of integrable systems generated from the continuum limits of the Hirota-Miwa equation and its remarkable nonlinear counterpart under t…
Generalized Cauchy matrix approach for non-autonomous discrete Kadomtsev-Petviashvili system
Songlin Zhao, Wei Feng, Shoufeng Shen +1
In this paper, we investigate the non-autonomous discrete Kadomtsev-Petviashvili (KP) system in terms of generalized Cauchy matrix approach. These equations include non-autonomous…
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…
Two hierarchies of new generalized multicomponent AKNS-type soliton equations
Chun-Xia Li, Shou-Feng Shen, Wen-Xiu Ma +1
Two multicomponent generalizations of the AKNS-type spectral problems associated with and are introduced and the corresponding two hierarchies…
Kadomtsev-Petviashvili system and reduction: generalized Cauchy matrix approach
Song-lin Zhao, Shou-feng Shen, Wei Feng
By the Sylvester equation $\bL\bM-\bM\bK=\br\bs^{\st}$ together with an evolution equation set of $\br$ and $\bs$, generalized Cauchy matrix approach is established to investigate…