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Journal Articles

Localized wave structures: Solitons and beyond

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L. Ostrovsky, E. Pelinovsky, V. Shrira, Y. Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 062101 (2024)
https://doi.org/10.1063/5.0210903
Published: June 2024
View articletitled, Localized wave structures: Solitons and beyond
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Journal Articles

Dynamical and statistical features of soliton interactions in the focusing Gardner equation

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Xue-Feng Zhang, Tao Xu, Min Li, Xiao-Zhang Zhu
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 043129 (2024)
https://doi.org/10.1063/5.0200335
Published: April 2024
View articletitled, Dynamical and statistical features of soliton interactions in the focusing Gardner equation
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Journal Articles

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability

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Wencheng Hu, Zhao Zhang, Qi Guo, Yury Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 013138 (2024)
https://doi.org/10.1063/5.0175696
Published: January 2024
View articletitled, Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability
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Journal Articles

Large internal solitary waves on a weak shear

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Oleg G. Derzho
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 32, 063130 (2022)
https://doi.org/10.1063/5.0078975
Published: June 2022
View articletitled, Large internal solitary waves on a weak shear
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Journal Articles

Soliton interaction with external forcing within the Korteweg–de Vries equation

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Andrei Ermakov, Yury Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 29, 013117 (2019)
https://doi.org/10.1063/1.5063561
Published: January 2019
View articletitled, Soliton interaction with external forcing within the Korteweg–de Vries equation
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Journal Articles

Adiabatic decay of internal solitons due to Earth's rotation within the framework of the Gardner–Ostrovsky equation

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Maria Obregon, Nawin Raj, Yury Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 28, 033106 (2018)
https://doi.org/10.1063/1.5021864
Published: March 2018
View articletitled, Adiabatic decay of internal solitons due to Earth's rotation within the framework of the Gardner–Ostrovsky equation
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Journal Articles

Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions

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S. Nikitenkova, N. Singh, Y. Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 25, 123113 (2015)
https://doi.org/10.1063/1.4937362
Published: December 2015
View articletitled, Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions
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Journal Articles

Beyond the KdV: Post-explosion development

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L. Ostrovsky, E. Pelinovsky, V. Shrira, Y. Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 25, 097620 (2015)
https://doi.org/10.1063/1.4927448
Published: August 2015
View articletitled, Beyond the KdV: Post-explosion development
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Journal Articles

Modulational instability of co-propagating internal wavetrains under rotation

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A. J. Whitfield, E. R. Johnson
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 25, 023109 (2015)
https://doi.org/10.1063/1.4908571
Published: February 2015
View articletitled, Modulational instability of co-propagating internal wavetrains under rotation
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Journal Articles

On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations

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A. Alias, R. H. J. Grimshaw, K. R. Khusnutdinova
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 23, 023121 (2013)
https://doi.org/10.1063/1.4808249
Published: June 2013
View articletitled, On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations
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Journal Articles

Regular and chaotic dynamics of a fountain in a stratified fluid

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O. A. Druzhinin, Yu. I. Troitskaya
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 22, 023116 (2012)
https://doi.org/10.1063/1.4704814
Published: April 2012
View articletitled, Regular and chaotic dynamics of a fountain in a stratified fluid
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Journal Articles

Period adding cascades: Experiment and modeling in air bubbling

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Felipe Augusto Cardoso Pereira, Eduardo Colli, José Carlos Sartorelli
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 22, 013135 (2012)
https://doi.org/10.1063/1.3695345
Published: March 2012
View articletitled, Period adding cascades: Experiment and modeling in air bubbling
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Journal Articles

Lagrangian coherent structures and internal wave attractors

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Wenbo Tang, Thomas Peacock
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 20, 017508 (2010)
https://doi.org/10.1063/1.3273054
Published: January 2010
View articletitled, Lagrangian coherent structures and internal wave attractors
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Journal Articles

Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity

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R. Grimshaw, A. Slunyaev, E. Pelinovsky
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 20, 013102 (2010)
https://doi.org/10.1063/1.3279480
Published: January 2010
View articletitled, Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity
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Journal Articles

Introduction to Focus Issue: Lagrangian Coherent Structures

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Thomas Peacock, John Dabiri
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 20, 017501 (2010)
https://doi.org/10.1063/1.3278173
Published: January 2010
View articletitled, Introduction to Focus Issue: Lagrangian Coherent Structures
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Journal Articles

Solitons in nonintegrable systems

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Roger H. J. Grimshaw, Lev A. Ostrovsky, Dmitry E. Pelinovsky
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 15, 037101 (2005)
https://doi.org/10.1063/1.2047867
Published: October 2005
View articletitled, Solitons in nonintegrable systems
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Journal Articles

Generation, propagation, and breaking of internal solitary waves

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John Grue
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 15, 037110 (2005)
https://doi.org/10.1063/1.2047907
Published: October 2005
View articletitled, Generation, propagation, and breaking of internal solitary waves
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Journal Articles

Internal solitons in laboratory experiments: Comparison with theoretical models

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L. A. Ostrovsky, Y. A. Stepanyants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 15, 037111 (2005)
https://doi.org/10.1063/1.2107087
Published: October 2005
View articletitled, Internal solitons in laboratory experiments: Comparison with theoretical models
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Journal Articles

Ray chaos and ray clustering in an ocean waveguide

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D. V. Makarov, M. Yu. Uleysky, S. V. Prants
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 14, 79–95 (2004)
https://doi.org/10.1063/1.1626392
Published: March 2004
View articletitled, Ray chaos and ray clustering in an ocean waveguide
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