Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Structural Tilting and Depth-dependent Behavior of Equatorial Rossby Waves

Oana Vesa, Junwei Zhao and Ruizhu Chen
The Astrophysical Journal 997 (2) 343 (2026)
https://doi.org/10.3847/1538-4357/ae367a

Analysis of Short-term Solar Activity Variability and Estimating the Timings of the Next Enhanced Bursts

Juie Shetye and Mausumi Dikpati
The Astrophysical Journal 992 (2) 177 (2025)
https://doi.org/10.3847/1538-4357/ae0470

Large-Scale Rossby Waves in Rotating Space and Astrophysical Plasmas

D. A. Koshkina, T. V. Galstyan, D. A. Klimachkov and A. S. Petrosyan
Plasma Physics Reports 51 (5) 555 (2025)
https://doi.org/10.1134/S1063780X25602792

Scaler Rates from the Pierre Auger Observatory: A New Proxy of Solar Activity

A. Abdul Halim, P. Abreu, M. Aglietta, I. Allekotte, K. Almeida Cheminant, A. Almela, R. Aloisio, J. Alvarez-Muñiz, A. Ambrosone, J. Ammerman Yebra, G. A. Anastasi, L. Anchordoqui, B. Andrada, L. Andrade Dourado, S. Andringa, L. Apollonio, C. Aramo, E. Arnone, J. C. Arteaga Velázquez, P. Assis, G. Avila, E. Avocone, A. Bakalova, F. Barbato, A. Bartz Mocellin, et al.
The Astrophysical Journal 987 (1) 41 (2025)
https://doi.org/10.3847/1538-4357/adccc3

Magnetohydrodynamic shallow water equations with the alpha effect: Rossby-dynamo waves in solar–stellar tachoclines

T. V. Zaqarashvili, M. Dikpati and P. A. Gilman
Astronomy & Astrophysics 703 A190 (2025)
https://doi.org/10.1051/0004-6361/202556108

Magnetic diffusion and dynamo action in shallow-water magnetohydrodynamics

Andrew D. Gilbert, Stephen D. Griffiths and David W. Hughes
Journal of Fluid Mechanics 1009 (2025)
https://doi.org/10.1017/jfm.2025.57

A Theory of Large-Scale Flows of Rotating Partially Ionized Space and Astrophysical Plasma in the Approximation of Hall Magnetohydrodynamics

T. V. Galstyan, D. A. Koshkina, D. A. Klimachkov and A. S. Petrosyan
Plasma Physics Reports 50 (9) 1165 (2024)
https://doi.org/10.1134/S1063780X24601159

Global and local dynamics of X-flare-producing active regions during solar cycle 25 peak phase

B. Raphaldini, M. Dikpati, A. S. W. Teruya, K. Jain, A. A. Norton and S. W. McIntosh
Astronomy & Astrophysics 691 A3 (2024)
https://doi.org/10.1051/0004-6361/202451428

A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography

Abou Cissé, Imad Elmahi, Imad Kissami and Ahmed Ratnani
Computer Physics Communications 305 109328 (2024)
https://doi.org/10.1016/j.cpc.2024.109328

Two-dimensional ideal magnetohydrodynamic waves on a rotating sphere under a non-Malkus field: I. Continuous spectrum and its ray-theoretical interpretation

Ryosuke Nakashima and Shigeo Yoshida
Geophysical & Astrophysical Fluid Dynamics 118 (5-6) 387 (2024)
https://doi.org/10.1080/03091929.2024.2384388

Large-Scale Hydrodynamic Flows in Media with Variable Thermodynamic Characteristics

M. A. Yudenkova, D. A. Klimachkov and A. S. Petrosyan
Plasma Physics Reports 50 (6) 724 (2024)
https://doi.org/10.1134/S1063780X24600865

The Dynamics of Magnetic Rossby Waves in the Quasigeostrophic Shallow Water Magnetohydrodynamic Theory

Peiya 沛雅 Jiang 蒋 and Yaokun 耀锟 Li 李
The Astrophysical Journal 964 (1) 20 (2024)
https://doi.org/10.3847/1538-4357/ad22db

Tracking active nests in solar-type pulsators: Ensemble starspot modelling of Kepler asteroseismic targets

S. N. Breton, A. F. Lanza and S. Messina
Astronomy & Astrophysics 682 A67 (2024)
https://doi.org/10.1051/0004-6361/202348298

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Anatoly A. Gurchenkov and Ivan A. Matveev
Physics 6 (1) 426 (2024)
https://doi.org/10.3390/physics6010029

The energy dispersion of magnetic Rossby waves in the quasi-geostrophic shallow water magnetohydrodynamic theory

Yi Yang, ChengKang Li, PeiYa Jiang and YaoKun Li
Physica Scripta 99 (12) 125032 (2024)
https://doi.org/10.1088/1402-4896/ad9226

Magnetohydrodynamic Instabilities of Double Magnetic Bands in a Shallow-water Tachocline Model. II. Teleconnection Between High- and Low-latitude Bands and Across Equator

Mausumi Dikpati, Bernadett Belucz, Robertus Erdélyi, Peter A. Gilman, Scott W. McIntosh and Breno Raphaldini
The Astrophysical Journal 977 (1) 99 (2024)
https://doi.org/10.3847/1538-4357/ad8b50

Evolution of amplitude and longitude phase of tachocline Rossby waves diffusing to the photosphere

Mausumi Dikpati, Peter A Gilman, Breno Raphaldini and Scott W McIntosh
Monthly Notices of the Royal Astronomical Society 535 (2) 1856 (2024)
https://doi.org/10.1093/mnras/stae2457

A magnetohydrodynamic mechanism for the formation of solar polar vortices

Mausumi Dikpati, Breno Raphaldini, Scott W. McIntosh, Marianna B. Korsos, Gustavo A. Guerrero and Peter A. Gilman
Proceedings of the National Academy of Sciences 121 (47) (2024)
https://doi.org/10.1073/pnas.2415157121

Information-theoretic Analysis of Longitude Distribution of Photospheric Magnetic Fields from MDI/HMI Synoptic Maps: Evidence for Rossby Waves

Breno Raphaldini, Mausumi Dikpati and Scott W. McIntosh
The Astrophysical Journal 953 (2) 156 (2023)
https://doi.org/10.3847/1538-4357/ace320

Equatorially trapped Rossby waves in radiative stars

Mariam Albekioni, Teimuraz V. Zaqarashvili, Vasil Kukhianidze, Eka Gurgenashvili and Philippe Bourdin
Astronomische Nachrichten 344 (10) (2023)
https://doi.org/10.1002/asna.20230083

Tidally Forced Planetary Waves in the Tachocline of Solar-like Stars

Gerrit M. Horstmann, George Mamatsashvili, André Giesecke, Teimuraz V. Zaqarashvili and Frank Stefani
The Astrophysical Journal 944 (1) 48 (2023)
https://doi.org/10.3847/1538-4357/aca278

On the Connection between Rieger-type and Magneto-Rossby Waves Driving the Frequency of the Large Solar Eruptions during Solar Cycles 19–25

Marianna B. Korsós, Mausumi Dikpati, Robertus Erdélyi, Jiajia Liu and Francesca Zuccarello
The Astrophysical Journal 944 (2) 180 (2023)
https://doi.org/10.3847/1538-4357/acb64f

Rossby waves on stellar equatorial β planes: Uniformly rotating radiative stars

M. Albekioni, T. V. Zaqarashvili and V. Kukhianidze
Astronomy & Astrophysics 671 A91 (2023)
https://doi.org/10.1051/0004-6361/202243985

Study of the Relationship Between Sunspot Number and the Duration of the ≈ 1.6 – 2.2 Year Period in Neutron Monitor Counting Rates

A. López-Comazzi and J. J. Blanco
Solar Physics 298 (5) (2023)
https://doi.org/10.1007/s11207-023-02153-2

Волновые процессы в плазменной астрофизике

М. А. Федотова, Д. А. Климачков and А. С. Петросян
Физика плазмы 49 (3) 209 (2023)
https://doi.org/10.31857/S0367292122601229

The Super-Alfvénic Rotational Instability in Accretion Disks about Black Holes

Hans Goedbloed and Rony Keppens
The Astrophysical Journal Supplement Series 259 (2) 65 (2022)
https://doi.org/10.3847/1538-4365/ac573c

Ray Tracing of MHD Rossby Waves in the Solar Tachocline: Meridional Propagation and Implications for the Solar Magnetic Activity

André S. W. Teruya, Breno Raphaldini and Carlos F. M. Raupp
Frontiers in Astronomy and Space Sciences 9 (2022)
https://doi.org/10.3389/fspas.2022.856912

Temporal Evolutions and Quasiperiodic Variations Present in the Sunspot Number and Group Sunspot Area Data Measured at Kodaikanal Observatory for Solar Cycles 14–24

Belur Ravindra, Partha Chowdhury, Pratap Chandra Ray and Kumaravel Pichamani
The Astrophysical Journal 940 (1) 43 (2022)
https://doi.org/10.3847/1538-4357/ac98b3

Short- and Mid-term Periodicities Observed in Neutron Monitor Counting Rates throughout Solar Cycles 20–24

A. López-Comazzi and J. J. Blanco
The Astrophysical Journal 927 (2) 155 (2022)
https://doi.org/10.3847/1538-4357/ac4e19

Simulating Properties of “Seasonal” Variability in Solar Activity and Space Weather Impacts

Mausumi Dikpati, Scott W. McIntosh and Simon Wing
Frontiers in Astronomy and Space Sciences 8 (2021)
https://doi.org/10.3389/fspas.2021.688604

Variable Density Flows in Rotating Astrophysical Plasma. Linear Waves and Resonant Phenomena

Maria Fedotova, Dmitry Klimachkov and Arakel Petrosyan
Universe 7 (4) 87 (2021)
https://doi.org/10.3390/universe7040087

Resonant interactions of magneto-Poincaré and magneto-Rossby waves in quasi-two-dimensional rotating astrophysical plasma

Maria Fedotova, Dmitry Klimachkov and Arakel Petrosyan
Monthly Notices of the Royal Astronomical Society 509 (1) 314 (2021)
https://doi.org/10.1093/mnras/stab2957

Dynamical Splitting of Spot-producing Magnetic Rings in a Nonlinear Shallow-water Model

Mausumi Dikpati, Aimee A. Norton, Scott W. McIntosh and Peter A. Gilman
The Astrophysical Journal 922 (1) 46 (2021)
https://doi.org/10.3847/1538-4357/ac1359

The Magnetic Mechanism for Hotspot Reversals in Hot Jupiter Atmospheres

A. W. Hindle, P. J. Bushby and T. M. Rogers
The Astrophysical Journal 922 (2) 176 (2021)
https://doi.org/10.3847/1538-4357/ac0e2e

Nonlinear MHD Rossby wave interactions and persistent geomagnetic field structures

Breno Raphaldini and Carlos F. M. Raupp
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2241) (2020)
https://doi.org/10.1098/rspa.2020.0174

Physics of Magnetohydrodynamic Rossby Waves in the Sun

Mausumi Dikpati, Peter A. Gilman, Subhamoy Chatterjee, Scott W. McIntosh and Teimuraz V. Zaqarashvili
The Astrophysical Journal 896 (2) 141 (2020)
https://doi.org/10.3847/1538-4357/ab8b63

Predicting frequency changes of global-scale solar Rossby modes due to solar cycle changes in internal rotation

C. R. Goddard, A. C. Birch, D. Fournier and L. Gizon
Astronomy & Astrophysics 640 L10 (2020)
https://doi.org/10.1051/0004-6361/202038539

The Shallow-Water Magnetohydrodynamic Theory of Stratified Rotating Astrophysical Plasma Flows: Beta-Plane Approximation and Magnetic Rossby Waves

M. A. Fedotova, D. A. Klimachkov and A. S. Petrosyan
Plasma Physics Reports 46 (1) 50 (2020)
https://doi.org/10.1134/S1063780X20010079

A New Mechanism for Maunder-like Solar Minima: Phase Synchronization Dynamics in a Simple Nonlinear Oscillator of Magnetohydrodynamic Rossby Waves

Breno Raphaldini, Everton Medeiros, Carlos F. M. Raupp and Andre Seiji Teruya
The Astrophysical Journal Letters 890 (1) L13 (2020)
https://doi.org/10.3847/2041-8213/ab71fd

Wave Processes in Rotating Compressible Astrophysical Plasma Flows with Stable Stratification

M. A. Fedotova and A. S. Petrosyan
Journal of Experimental and Theoretical Physics 131 (6) 1032 (2020)
https://doi.org/10.1134/S106377612012002X

Shallow Water Magnetohydrodynamics in Plasma Astrophysics. Waves, Turbulence, and Zonal Flows

Arakel Petrosyan, Dmitry Klimachkov, Maria Fedotova and Timofey Zinyakov
Atmosphere 11 (4) 314 (2020)
https://doi.org/10.3390/atmos11040314

Wave Processes in Three-Dimensional Stratified Flows of a Rotating Plasma in the Boussinesq Approximation

M. A. Fedotova and A. S. Petrosyan
Journal of Experimental and Theoretical Physics 131 (2) 337 (2020)
https://doi.org/10.1134/S1063776120060035

Manifestation of Rossby Waves in the Global Magnetic Field of the Sun during Cycles 21–24

Irina A. Bilenko
The Astrophysical Journal Letters 897 (2) L24 (2020)
https://doi.org/10.3847/2041-8213/ab9fa4

Dynamics of nonlinear Alfvén waves in the shallow water magnetohydrodynamic equations

Martin Magill, Aaron Coutino, Benjamin A. Storer, Marek Stastna and Francis J. Poulin
Physical Review Fluids 4 (5) (2019)
https://doi.org/10.1103/PhysRevFluids.4.053701

Magneto-Rossby Waves in the Solar Tachocline and the Annual Variations in Solar Activity

Tamar Gachechiladze, Teimuraz V. Zaqarashvili, Eka Gurgenashvili, Giorgi Ramishvili, Marc Carbonell, Ramon Oliver and Jose Luis Ballester
The Astrophysical Journal 874 (2) 162 (2019)
https://doi.org/10.3847/1538-4357/ab0955

Nonlinear Rossby Wave–Wave and Wave–Mean Flow Theory for Long-term Solar Cycle Modulations

Breno Raphaldini, André Seiji Teruya, Carlos F. M. Raupp and Miguel D. Bustamante
The Astrophysical Journal 887 (1) 1 (2019)
https://doi.org/10.3847/1538-4357/ab5067

Large-Scale Compressibility in Rotating Flows of Astrophysical Plasma in the Shallow Water Approximation

D. A. Klimachkov and A. S. Petrosyan
Journal of Experimental and Theoretical Physics 127 (6) 1136 (2018)
https://doi.org/10.1134/S1063776118120166

Phase Speed of Magnetized Rossby Waves that Cause Solar Seasons

Mausumi Dikpati, Bernadett Belucz, Peter A. Gilman and Scott W. McIntosh
The Astrophysical Journal 862 (2) 159 (2018)
https://doi.org/10.3847/1538-4357/aacefa

Role of Interaction between Magnetic Rossby Waves and Tachocline Differential Rotation in Producing Solar Seasons

Mausumi Dikpati, Scott W. McIntosh, Gregory Bothun, Paul S. Cally, Siddhartha S. Ghosh, Peter A. Gilman and Orkan M. Umurhan
The Astrophysical Journal 853 (2) 144 (2018)
https://doi.org/10.3847/1538-4357/aaa70d

Rotating magnetic shallow water waves and instabilities in a sphere

X. Márquez-Artavia, C. A. Jones and S. M. Tobias
Geophysical & Astrophysical Fluid Dynamics 111 (4) 282 (2017)
https://doi.org/10.1080/03091929.2017.1301937

North–South Asymmetry in Rieger-type Periodicity during Solar Cycles 19–23

Eka Gurgenashvili, Teimuraz V. Zaqarashvili, Vasil Kukhianidze, Ramon Oliver, Jose Luis Ballester, Mausumi Dikpati and Scott W. McIntosh
The Astrophysical Journal 845 (2) 137 (2017)
https://doi.org/10.3847/1538-4357/aa830a

A space–time CESE scheme for shallow water magnetohydrodynamics equations with variable bottom topography

M. Rehan Saleem, Saqib Zia and Shamsul Qamar
Journal of the Brazilian Society of Mechanical Sciences and Engineering 39 (5) 1563 (2017)
https://doi.org/10.1007/s40430-016-0678-4

Parametric instabilities in shallow water magnetohydrodynamics of astrophysical plasma in external magnetic field

D.A. Klimachkov and A.S. Petrosyan
Physics Letters A 381 (2) 106 (2017)
https://doi.org/10.1016/j.physleta.2016.10.011

Rossby waves in the magnetic fluid dynamics of a rotating plasma in the shallow-water approximation

D. A. Klimachkov and A. S. Petrosyan
Journal of Experimental and Theoretical Physics 125 (4) 597 (2017)
https://doi.org/10.1134/S1063776117090059

Energy partition, scale by scale, in magnetic Archimedes Coriolis weak wave turbulence

A. Salhi, F. S. Baklouti, F. Godeferd, T. Lehner and C. Cambon
Physical Review E 95 (2) (2017)
https://doi.org/10.1103/PhysRevE.95.023112

Shear flow instabilities in shallow-water magnetohydrodynamics

J. Mak, S. D. Griffiths and D. W. Hughes
Journal of Fluid Mechanics 788 767 (2016)
https://doi.org/10.1017/jfm.2015.718

Nonlinear wave interactions in shallow water magnetohydrodynamics of astrophysical plasma

D. A. Klimachkov and A. S. Petrosyan
Journal of Experimental and Theoretical Physics 122 (5) 832 (2016)
https://doi.org/10.1134/S1063776116040178

RIEGER-TYPE PERIODICITY DURING SOLAR CYCLES 14–24: ESTIMATION OF DYNAMO MAGNETIC FIELD STRENGTH IN THE SOLAR INTERIOR

Eka Gurgenashvili, Teimuraz V. Zaqarashvili, Vasil Kukhianidze, Ramon Oliver, Jose Luis Ballester, Giorgi Ramishvili, Bidzina Shergelashvili, Arnold Hanslmeier and Stefaan Poedts
The Astrophysical Journal 826 (1) 55 (2016)
https://doi.org/10.3847/0004-637X/826/1/55

NONLINEAR DYNAMICS OF MAGNETOHYDRODYNAMIC ROSSBY WAVES AND THE CYCLIC NATURE OF SOLAR MAGNETIC ACTIVITY

Breno Raphaldini and Carlos F. M. Raupp
The Astrophysical Journal 799 (1) 78 (2015)
https://doi.org/10.1088/0004-637X/799/1/78

LONG-TERM VARIATION IN THE SUN’S ACTIVITY CAUSED BY MAGNETIC ROSSBY WAVES IN THE TACHOCLINE

Teimuraz V. Zaqarashvili, Ramon Oliver, Arnold Hanslmeier, et al.
The Astrophysical Journal 805 (2) L14 (2015)
https://doi.org/10.1088/2041-8205/805/2/L14

Numerical solution of shallow water magnetohydrodynamic equations with non-flat bottom topography

Saqib Zia, Munshoor Ahmed and Shamsul Qamar
International Journal of Computational Fluid Dynamics 28 (1-2) 56 (2014)
https://doi.org/10.1080/10618562.2014.891019

ANALYTICAL MODELS OF EXOPLANETARY ATMOSPHERES. I. ATMOSPHERIC DYNAMICS VIA THE SHALLOW WATER SYSTEM

Kevin Heng and Jared Workman
The Astrophysical Journal Supplement Series 213 (2) 27 (2014)
https://doi.org/10.1088/0067-0049/213/2/27

Possible signature of Alfvén wave dissipation in the localized magnetic funnels of the equatorial solar corona

Bhola N. Dwivedi, Abhishek Kumar Srivastava and Anita Mohan
Publications of the Astronomical Society of Japan 66 (SP1) (2014)
https://doi.org/10.1093/pasj/psu087

IONIZATION IN ATMOSPHERES OF BROWN DWARFS AND EXTRASOLAR PLANETS. V. ALFVÉN IONIZATION

C. R. Stark, Ch. Helling, D. A. Diver and P. B. Rimmer
The Astrophysical Journal 776 (1) 11 (2013)
https://doi.org/10.1088/0004-637X/776/1/11

Rossby waves and polar spots in rapidly rotating stars: implications for stellar wind evolution

T. V. Zaqarashvili, R. Oliver, J. L. Ballester, et al.
Astronomy & Astrophysics 532 A139 (2011)
https://doi.org/10.1051/0004-6361/201117122

A kinetic flux-vector splitting method for the shallow water magnetohydrodynamics

Shamsul Qamar and Sidrah Mudasser
Computer Physics Communications 181 (6) 1109 (2010)
https://doi.org/10.1016/j.cpc.2010.02.019

MAGNETIC ROSSBY WAVES IN THE SOLAR TACHOCLINE AND RIEGER-TYPE PERIODICITIES

Teimuraz V. Zaqarashvili, Marc Carbonell, Ramón Oliver and José Luis Ballester
The Astrophysical Journal 709 (2) 749 (2010)
https://doi.org/10.1088/0004-637X/709/2/749

QUASI-BIENNIAL OSCILLATIONS IN THE SOLAR TACHOCLINE CAUSED BY MAGNETIC ROSSBY WAVE INSTABILITIES

Teimuraz V. Zaqarashvili, Marc Carbonell, Ramón Oliver and José Luis Ballester
The Astrophysical Journal 724 (1) L95 (2010)
https://doi.org/10.1088/2041-8205/724/1/L95