39 citations as recorded by crossref.

1. Lagrangian approach to nonlinear waves in non-dispersive and dispersive rotating shallow water magnetohydrodynamics V. Zeitlin https://doi.org/10.1017/jfm.2024.83
2. Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics M. Yudenkova et al. https://doi.org/10.1134/S1063780X24600865
3. Nonlinear wave interactions in shallow water magnetohydrodynamics of astrophysical plasma D. Klimachkov & A. Petrosyan https://doi.org/10.1134/S1063776116040178
4. The Dynamics of Magnetic Rossby Waves in the Quasigeostrophic Shallow Water Magnetohydrodynamic Theory P. Jiang 蒋 & Y. Li 李 https://doi.org/10.3847/1538-4357/ad22db
5. The energy dispersion of magnetic Rossby waves in the quasi-geostrophic shallow water magnetohydrodynamic theory Y. Yang et al. https://doi.org/10.1088/1402-4896/ad9226
6. Variable Density Flows in Rotating Astrophysical Plasma. Linear Waves and Resonant Phenomena M. Fedotova et al. https://doi.org/10.3390/universe7040087
7. Laboratory modelling of the transfer processes between the ocean and atmosphere in the boundary layers D. Sergeev et al. https://doi.org/10.1051/epjconf/201714302100
8. Nonlinear MHD Rossby wave interactions and persistent geomagnetic field structures B. Raphaldini & C. Raupp https://doi.org/10.1098/rspa.2020.0174
9. Energy partition, scale by scale, in magnetic Archimedes Coriolis weak wave turbulence A. Salhi et al. https://doi.org/10.1103/PhysRevE.95.023112
10. Spectra of solar shallow-water waves from bright point observations B. Raphaldini et al. https://doi.org/10.1051/0004-6361/202451014
11. Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics V. Zeitlin et al. https://doi.org/10.1080/03091929.2015.1072178
12. Ray Tracing of MHD Rossby Waves in the Solar Tachocline: Meridional Propagation and Implications for the Solar Magnetic Activity A. Teruya et al. https://doi.org/10.3389/fspas.2022.856912
13. Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD A. Chertock et al. https://doi.org/10.1016/j.jcp.2024.113300
14. Resonant interactions of magneto-Poincaré and magneto-Rossby waves in quasi-two-dimensional rotating astrophysical plasma M. Fedotova et al. https://doi.org/10.1093/mnras/stab2957
15. Coherent magnetic modon solutions in quasi-geostrophic shallow water magnetohydrodynamics N. Lahaye & V. Zeitlin https://doi.org/10.1017/jfm.2022.289
16. Magnetic Rossby waves under the generalized β-plane approximation Y. Wang et al. https://doi.org/10.1016/j.newast.2025.102517
17. Shallow Water Magnetohydrodynamics in Plasma Astrophysics. Waves, Turbulence, and Zonal Flows A. Petrosyan et al. https://doi.org/10.3390/atmos11040314
18. The Shallow-Water Magnetohydrodynamic Theory of Stratified Rotating Astrophysical Plasma Flows: Beta-Plane Approximation and Magnetic Rossby Waves M. Fedotova et al. https://doi.org/10.1134/S1063780X20010079
19. Parametric instabilities in shallow water magnetohydrodynamics of astrophysical plasma in external magnetic field D. Klimachkov & A. Petrosyan https://doi.org/10.1016/j.physleta.2016.10.011
20. Волновые процессы в плазменной астрофизике М. Федотова et al. https://doi.org/10.31857/S0367292122601229
21. A 5-Wave Relaxation Solver for the Shallow Water MHD System F. Bouchut & X. Lhébrard https://doi.org/10.1007/s10915-015-0130-4
22. A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics A. Chertock et al. https://doi.org/10.1137/22M1539009
23. Asymptotic Shallow Models Arising in Magnetohydrodynamics D. Alonso-Orán https://doi.org/10.1007/s42286-021-00050-4
24. Equatorial Magnetohydrodynamic Shallow Water Waves in the Solar Tachocline T. Zaqarashvili https://doi.org/10.3847/1538-4357/aab26f
25. Dynamic expulsion of magnetic flux by vortices J. Tessier et al. https://doi.org/10.1103/PhysRevFluids.10.053702
26. Magnetic diffusion and dynamo action in shallow-water magnetohydrodynamics A. Gilbert et al. https://doi.org/10.1017/jfm.2025.57
27. A New Mechanism for Maunder-like Solar Minima: Phase Synchronization Dynamics in a Simple Nonlinear Oscillator of Magnetohydrodynamic Rossby Waves B. Raphaldini et al. https://doi.org/10.3847/2041-8213/ab71fd
28. Nonlinear theory of magnetohydrodynamic flows of a compressible fluid in the shallow water approximation D. Klimachkov & A. Petrosyan https://doi.org/10.1134/S1063776116070098
29. Dynamics of nonlinear Alfvén waves in the shallow water magnetohydrodynamic equations M. Magill et al. https://doi.org/10.1103/PhysRevFluids.4.053701
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32. Large-Scale Compressibility in Rotating Flows of Astrophysical Plasma in the Shallow Water Approximation D. Klimachkov & A. Petrosyan https://doi.org/10.1134/S1063776118120166
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34. Rossby waves in the magnetic fluid dynamics of a rotating plasma in the shallow-water approximation D. Klimachkov & A. Petrosyan https://doi.org/10.1134/S1063776117090059
35. A multi well-balanced scheme for the shallow water MHD system with topography F. Bouchut & X. Lhébrard https://doi.org/10.1007/s00211-017-0865-y
36. Rossby Waves in Astrophysics T. Zaqarashvili et al. https://doi.org/10.1007/s11214-021-00790-2
37. On magnetostrophic inertia-less waves in quasi-geostrophic models of planetary cores F. Labbé et al. https://doi.org/10.1080/03091929.2015.1094569
38. Nonlinear Rossby Wave–Wave and Wave–Mean Flow Theory for Long-term Solar Cycle Modulations B. Raphaldini et al. https://doi.org/10.3847/1538-4357/ab5067
39. Quasi-geostrophic MHD equations: Hamiltonian formulation and nonlinear stability B. Raphaldini et al. https://doi.org/10.1007/s40314-023-02192-2