2022/02/19 by Ajaz Mir, Sanat Kumar Tiwari, Sanat Tiwari +1 · 10 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #Four-wave mixing #Korteweg–de Vries equation #Mathematical analysis #Mathematics #Mixing (physics) #Nonlinear optics #Nonlinear system #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1063/5.0077638
published in Physics of Plasmas 29(3) (American Institute of Physics) · 13 pages, 7 figures, 3 tables
arxiv created 2022/02/19 · openalex publication_date 2022/03/01 · openalex created_date 2022/03/05 · arxiv updated 2022/03/14 · openalex updated_date 2026/08/05
The nonlinear response of a periodically driven Korteweg-de Vries model system is studied using a variety of nonlinear drivers and compared to previous results obtained for a purely time-dependent sinusoidal driver [Phys. Plasmas 27, 113701 (2020)]. It is found that a nonlinear driver in the form of a cnoidal square wave or a travelling wave driver produces a spectral response that is closer to experimental observations [Phys. Rev. Lett. 92, 085001 (2004)] than that predicted by the simple sinusoidal driver. Using a bispectral analysis, we also firmly establish that the nature of the nonlinear oscillations, due to the interaction between the periodic source and the inherent collective mode of the system, is predominantly governed by a three-wave mixing process. Furthermore, by studying the variation in the mixing pattern, from a broad to a sparse frequency spectrum, as a function of the driver frequency and its functional form, we propose a means of tailoring the nature of such patterns. Our results could find useful applications in the experimental interpretation and manipulation of nonlinear wave mixing patterns in weakly nonlinear and dispersive plasma systems or similar phenomena in neutral fluids.