Articles | Volume 43, issue 2
https://doi.org/10.5194/angeo-43-549-2025
https://doi.org/10.5194/angeo-43-549-2025
Regular paper
 | 
01 Oct 2025
Regular paper |  | 01 Oct 2025

A Nonlinear Generalized Boussinesq Equation ((2+1)-D) for Rossby-Khantadze Waves

Laila Zafar Kahlon, Tamaz David Kaladze, Hassan Amir Shah, Taimoor Zaka, and Syed Assad Ul Azeem Bukhari

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Brief Communication: A modified Korteweg–de Vries equation for Rossby–Khantadze waves in a sheared zonal flow of the ionospheric E layer
Laila Zafar Kahlon, Hassan Amir Shah, Tamaz David Kaladze, Qura Tul Ain, and Syed Assad Bukhari
Nonlin. Processes Geophys., 31, 1–6, https://doi.org/10.5194/npg-31-1-2024,https://doi.org/10.5194/npg-31-1-2024, 2024
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Cited articles

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Burmaka, V. P., Lysenko, V. N., Chernogor, L. F., and Chernyak, Y. V.: Wave-like processes in the ionospheric F region that accompanied rocket launches from the Baikonur site, Geomagn. Aeronomy, 46, 742–759, https://link.springer.com/article/10.1134/S0016793206060107a, 2006. 
Dovner, P. O., Eriksson, A. I., Bostrom, R., and Holback, B.: Freja multiprobe observations of electrostatic solitary structures, Geophys. Res. Lett., 21, 1827–1830, https://doi.org/10.1029/94GL00886, 1994. 
El-Danaf, T. S. A.: Septic B-spline method of the Korteweg-de Vries–Burger's equation, Communications in Nonlinear Science and Numerical Simulation, 13, 554–566, https://doi.org/10.1016/j.cnsns.2006.05.010, 2008. 
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Short summary
In this work, the investigation of Rossby-Khantadze waves with sheared zonal flows in E-ionosphere is presented. The spatially inhomogeneous Earth's angular velocity and background magnetic field are considered. The field inhomogeneity makes the coupling of Rossby and Khantadze waves. The numerical work of obtained linear frequencies is done. By using the method of multiple scale, we obtained a new Boussinesq nonlinear equation. Also, we obtain the travelling solitary structures.
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