Year: 2025
Type: article
Abstract: . In the following paper, we investigate nonlinear Rossby-Khantadze waves at a higher dimension, by taking the inhomogenities in the geomagnetic field and in angular velocity into account. Considering the system to be weakly nonlinear, we make use of perturbation theory to derive a new (2+1)–D general form of Boussineq equation, derived from the equation of potential vorticity. We evaluate the obtained equation by using the qualitative theory of ODEs, and bifurcation theory of dynamical systems. Through which we obtain the exact solution of the system in a co-moving frame of reference and for more information, we make use of dynamical analysis. Furthermore, we provide the exact numerical solutions. These results show that the aforementioned solutions of the traveling waves corresponds to Rossby-Khantadze solitons.
Source: Annales Geophysicae
Authors: Laila Zafar Kahlon, Tamaz David Kaladze, Hassan Amir Shah, Taimoor Zaka, Syed Assad Ul Azeem Bukhari
Institutions: Forman Christian College, Tbilisi State University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,186
OpenAlex ID: W4414749700