Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2017.11.001
Abstract: Abstract We investigate three-wave resonant interactions through both the generalized Darboux transformation method and numerical simulations. Firstly, we derive a simple multi-dark-dark-dark-soliton formula through the generalized Darboux transformation. Secondly, we use the matrix analysis method… read more here.
Keywords: rogue waves; wave resonant; resonant interactions; dark dark ... See more keywords
On application of stochastic differential equations for simulation of nonlinear wave–particle resonant interactions
Sign Up to like & getrecommendations! Published in 2021 at "Physics of Plasmas"
DOI: 10.1063/5.0058054
Abstract: wave-particle resonant interactions A. S. Lukin, 2 A. V. Artemyev, 1 and A. A. Petrukovich Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str, Moscow, Russia, 117997 Faculty of Physics, National… read more here.
Keywords: application stochastic; particle resonant; physics; resonant interactions ... See more keywords
Electron resonant interaction with whistler-mode waves in the outer radiation belt: Diffusion rates from nonlinear resonant interactions
Sign Up to like & getrecommendations! Published in 2025 at "Physics of Plasmas"
DOI: 10.1063/5.0256680
Abstract: Resonant interactions between electrons and whistler-mode waves play a key role in electron dynamics in Earth's radiation belt. Traditionally, the radiation belt dynamics are modeled using the quasi-linear approach, which relies on the Fokker–Planck diffusion… read more here.
Keywords: nonlinear resonant; mode waves; radiation belt; resonant interactions ... See more keywords
Evidence of experimental three-wave resonant interactions between two dispersion branches.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.045101
Abstract: We report the observation of nonlinear three-wave resonant interactions between two different branches of the dispersion relation of hydrodynamic waves, namely the gravity-capillary and sloshing modes. These atypical interactions are investigated within a torus of… read more here.
Keywords: resonant interactions; three wave; dispersion; interactions two ... See more keywords
Resonant lump chain interactions of a (2+1)-dimensional generalized Korteweg–de Vries equation in plasma physics and fluid dynamics
Sign Up to like & getrecommendations! Published in 2025 at "Modern Physics Letters A"
DOI: 10.1142/s0217732325500105
Abstract: In this paper, we mainly study the resonant interactions of lump chains of (2+1)-dimensional generalized Korteweg–de Vries (gKdV) equation, which can be used to describe the nonlinear wave phenomena in plasma physics, weakly dispersive media… read more here.
Keywords: lump chains; lump; generalized korteweg; resonant interactions ... See more keywords