1.2k citations · 5.5k across the 88 of their papers we have counts for
89 papers
Rogue-wave and lump patterns associated with the third Painlevé equation
Bo Yang, Jianke Yang
We report rogue-wave and lump patterns associated with Umemura polynomials, which arise in rational solutions of the third Painlevé equation. We first show that in many integrable…
Rogue curves in the Davey-Stewartson I equation
Bo Yang, Jianke Yang
We report new rogue wave patterns whose wave crests form closed or open curves in the spatial plane, which we call rogue curves, in the Davey-Stewartson I equation. These rogue cur…
Rogue wave patterns associated with Adler-Moser polynomials in the nonlinear Schrödinger equation
Bo Yang, Jianke Yang
We report new rogue wave patterns in the nonlinear Schrödinger equation. These patterns include heart-shaped structures, fan-shaped sectors, and many others, that are formed by ind…
Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation
Bo Yang, Jianke Yang
Partial-rogue waves, i.e., waves that ``come from nowhere but leave with a trace", are analytically predicted and numerically confirmed in the Sasa-Satsuma equation. We show that,…
Rogue wave patterns associated with Okamoto polynomial hierarchies
Bo Yang, Jianke Yang
We show that new types of rogue wave patterns exist in integrable systems, and these rogue patterns are described by root structures of Okamoto polynomial hierarchies. These rogue…
Rogue Waves in (2+1)-Dimensional Three-Wave Resonant Interactions
Bo Yang, Jianke Yang
Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied. General rogue waves arising from a constant background, from a lump-soliton background and from a dar…