... in the high-Reynolds-number viscous flows as well as solitons, rogue waves and turbulent structures that are the phenomena in the compressible, dispersive and chaotic hydrodynamic systems. Design/methodology/approach dcMAWNO integrates multi-scale wavelet decomposition with channel-wise attention...

...Hui Wang; Shou-Fu Tian; Yi Chen Purpose The purpose of this paper is to study the breather waves, rogue waves and solitary waves of an extended (3 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation, which can be used to depict many nonlinear phenomena in fluid dynamics and plasma physics...

.... Design/methodology/approach The authors apply the extended Bell polynomial approach, Hirota’s bilinear method and the homoclinic test technique to find the rogue waves, homoclinic breather waves and soliton waves of the (3 + 1)-dimensional non-integrable KdV-type equation. The used approach formally...

...Lian-Li Feng; Tian-Tian Zhang Purpose The purpose of this paper is to find homoclinic breather waves, rogue waves and soliton waves for a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which can be used to describe the propagation of weakly nonlinear dispersive long waves...

...Changfu Liu; Zeping Wang; Zhengde Dai; Longwei Chen Purpose – The purpose of this paper is to construct analytical solutions of the (2+1)-dimensional nonlinear Schrodinger equations, and the existence of rogue waves and their localized structures are studied. Design/methodology/approach...