2023/07/03 by Volodymyr M. Lashkin, Lashkin, Volodymyr M., O. K. Cheremnykh +1
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Meteorological Phenomena and Simulations #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.2307.01116
openalex publication_date 2023/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study nonlinear internal gravity waves (IGWs) in the atmosphere. The reductive perturbation method is used to derive a system of two-dimensional nonlinear equations for the envelope of velocity stream function and the mean flow. In the one-dimensional case, we obtain a nonlinear Schrödinger (NLS) equation corresponding to both horizontal and vertical propagation of IGWs. Depending on the characteristic wavelengths, the NLS equation is focusing or defocusing. In the focusing case, non-stationary solutions in the form of the Peregrine soliton, the Akhmediev breather and the Kuznetsov-Ma breather are considered as potential candidates for the modeling of rogue waves in the atmosphere. In the defocusing case, stationary nonlinear IGWs are considered in the form of nonlinear periodic waves and dark solitons.