44 citations · 82 across the 5 of their papers we have counts for
6 papers
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 (2 + 1)-dimensional integrable nonlocal nonlinear Schrodinger equations: Breather, rational and semi-rational solutions
Yulei Cao, Boris A. Malomed, Jingsong He
Recently, an integrable system of coupled (2+1)-dimensional nonlinear Schrodinger (NLS) equations was introduced by Fokas (eq. (18) in Nonlinearity 29}, 319324 (2016)). Following t…
Semi-rational solutions for the (2 + 1)-dimensional nonlocal Fokas system
Yulei Cao, Jiguang Rao, Dumitru Mihalache +1
The (2+1)-dimensional [(2+1)d] Fokas system is a natural and simple extension of the nonlinear Schrodinger equation. (see eq. (2) in A. S. Fokas, Inverse Probl. 10 (1994) L19-L22).…
Families of exact solutions of a new extended (2+1)-dimensional Boussinesq equation
Yulei Cao, Jingsong He, Dumitru Mihalache
A new variant of the -dimensional [] Boussinesq equation was recently introduced by J. Y. Zhu, arxiv:1704.02779v2, 2017; see eq. (3). First, we derive in this paper…