22 citations · 60 across the 16 of their papers we have counts for
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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…