398 citations · 2.6k across the 78 of their papers we have counts for
78 papers
A solvable model for symmetry-breaking phase transitions
Shatrughna Kumar, Pengfei Li, Liangwei Zeng +2
Analytically solvable models are benchmarks in studies of phase transitions and pattern-forming bifurcations. Such models are known for phase transitions of the second kind in unif…
General higher-order breathers and rogue waves in the two-component long-wave--short-wave resonance-interaction model
Jiguang Rao, Boris A. Malomed, Dumitru Mihalache +1
General higher-order breather and rogue wave (RW) solutions to the two-component long wave--short wave resonance interaction (2-LSRI) model are derived via the bilinear Kadomtsev-P…
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…