46 citations · 352 across the 23 of their papers we have counts for
17 papers · 1 filter
Rogue waves and lumps on the non-zero background in the PT -symmetric nonlocal Maccari system
Yulei Cao, Yi Cheng, Boris A. Malomed +1
In this paper, the PT -symmetric version of the Maccari system is introduced, which can be regarded as a two-dimensional generalization of the defocusing nonlocal nonlinear Schrod…
Deformed two-dimensional rogue waves in the (2+1)-dimensional Korteweg-de Vries equation
Yulei Cao, Peng-Yan Hu, Yi Cheng +1
Within the (2 + 1)-dimensional Korteweg-de Vries equation framework, new bilinear Backlund transformation and Lax pair are presented based on the binary Bell polynomials and gauge…
Reductions of the (4 + 1)-dimensional Fokas equation and their solutions
Yulei Cao, Jingsong He, Yi Cheng +1
An integrable extension of the Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations is investigated in this paper.We will refer to this integrable extension as the (4+1)…
Two-dimensional rogue waves on zero background of the Davey-Stewartson II equation
Lijuan Guo, Jingsong He, Lihong Wang +3
A prototypical example of a rogue wave structure in a two-dimensional model is presented in the context of the Davey-Stewartson~II (DS~II) equation arising in water waves. The anal…
Rational and semi-rational solutions of the nonlocal Davey-Stewartson equations
Jiguang Rao, Yi Cheng, Jingsong He
In this paper, the partially party-time () symmetric nonlocal Davey-Stewartson (DS) equations with respect to is called -nonlocal DS equations, while a fully symmet…
The rational solutions of the mixed nonlinear Schrödinger equation
Jingsong He, Shuwei Xu, Yi Cheng
The mixed nonlinear Schrödinger (MNLS) equation is a model for the propagation of the Alfvén wave in plasmas and the ultrashort light pulse in optical fibers with two nonlinear eff…