Articles | Volume 22, issue 2
https://doi.org/10.5194/npg-22-117-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-22-117-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Propagation regimes of interfacial solitary waves in a three-layer fluid
O. E. Kurkina
Nizhny Novgorod State Technical University n.a. R. Alekseev, Nizhny Novgorod, Russia
A. A. Kurkin
CORRESPONDING AUTHOR
Nizhny Novgorod State Technical University n.a. R. Alekseev, Nizhny Novgorod, Russia
E. A. Rouvinskaya
Nizhny Novgorod State Technical University n.a. R. Alekseev, Nizhny Novgorod, Russia
T. Soomere
Institute of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia
Estonian Academy of Sciences, Kohtu 6, 10130 Tallinn, Estonia
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Cited
12 citations as recorded by crossref.
- Transformation of internal breathers in the idealised shelf sea conditions E. Rouvinskaya et al. https://doi.org/10.1016/j.csr.2015.09.017
- Kinematic parameters of internal waves of the second mode in the South China Sea O. Kurkina et al. https://doi.org/10.5194/npg-24-645-2017
- Transformation of the First Mode Breather of Internal Waves above a Bottom Step in a Three-Layer Fluid P. Lobovikov et al. https://doi.org/10.1134/S0001433819060094
- Progress on oceanic sediment dynamic processes induced by nonlinear internal waves W. Ruan et al. https://doi.org/10.1007/s13131-024-2391-y
- Strongly nonlinear effects on internal solitary waves in three-layer flows R. Barros et al. https://doi.org/10.1017/jfm.2019.795
- Internal Wave Breathers in the Slightly Stratified Fluid T. Talipova et al. https://doi.org/10.1007/s12217-019-09738-2
- Modulational Instability of Surface-Gravity Waves in Presence of a Pycnocline of Finite Thickness A. Purkait & S. Debsarma https://doi.org/10.1007/s42286-022-00058-4
- Investigation of the energy of wave motions in a three-layer hydrodynamic system V. Naradovyi & D. Kharchenko https://doi.org/10.1080/17455030.2019.1699674
- Vertical structure of the velocity field induced by mode-I and mode-II solitary waves in a stratified fluid O. Kurkina et al. https://doi.org/10.1140/epje/i2018-11654-3
- Internal breather-like wave generation by the second mode solitary wave interaction with a step K. Terletska et al. https://doi.org/10.1063/1.4967203
- Nonlinear travelling periodic waves for the Euler equations in three-layer flows X. Guan et al. https://doi.org/10.1017/jfm.2024.73
- A classification of mode-1 internal solitary waves in a three-layer fluid R. Barros et al. https://doi.org/10.1017/jfm.2026.11281
12 citations as recorded by crossref.
- Transformation of internal breathers in the idealised shelf sea conditions E. Rouvinskaya et al. https://doi.org/10.1016/j.csr.2015.09.017
- Kinematic parameters of internal waves of the second mode in the South China Sea O. Kurkina et al. https://doi.org/10.5194/npg-24-645-2017
- Transformation of the First Mode Breather of Internal Waves above a Bottom Step in a Three-Layer Fluid P. Lobovikov et al. https://doi.org/10.1134/S0001433819060094
- Progress on oceanic sediment dynamic processes induced by nonlinear internal waves W. Ruan et al. https://doi.org/10.1007/s13131-024-2391-y
- Strongly nonlinear effects on internal solitary waves in three-layer flows R. Barros et al. https://doi.org/10.1017/jfm.2019.795
- Internal Wave Breathers in the Slightly Stratified Fluid T. Talipova et al. https://doi.org/10.1007/s12217-019-09738-2
- Modulational Instability of Surface-Gravity Waves in Presence of a Pycnocline of Finite Thickness A. Purkait & S. Debsarma https://doi.org/10.1007/s42286-022-00058-4
- Investigation of the energy of wave motions in a three-layer hydrodynamic system V. Naradovyi & D. Kharchenko https://doi.org/10.1080/17455030.2019.1699674
- Vertical structure of the velocity field induced by mode-I and mode-II solitary waves in a stratified fluid O. Kurkina et al. https://doi.org/10.1140/epje/i2018-11654-3
- Internal breather-like wave generation by the second mode solitary wave interaction with a step K. Terletska et al. https://doi.org/10.1063/1.4967203
- Nonlinear travelling periodic waves for the Euler equations in three-layer flows X. Guan et al. https://doi.org/10.1017/jfm.2024.73
- A classification of mode-1 internal solitary waves in a three-layer fluid R. Barros et al. https://doi.org/10.1017/jfm.2026.11281
Saved (final revised paper)
Latest update: 16 Jun 2026
Short summary
We have derived exact analytical expressions for the coefficients of evolution equations of long wave motion in the three-layer fluid with arbitrary parameters of the layers and established interrelations of these equations for different interfaces. To our understanding, the core advancement is the clarification and mapping of the regimes of soliton appearance and propagation in this environment that is much more realistic for the description of ocean internal waves.
We have derived exact analytical expressions for the coefficients of evolution equations of long...