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Journal Articles

Rogue waves: Theory, methods, and applications—30 years after the Draupner wave

Zhenya Yan, Boris A. Malomed, Kwok Wing Chow, Guoqiang Zhang, Weifang Weng

Chaos 35, 060402 (2025)

https://doi.org/10.1063/5.0282887

Published: June 2025

View articletitled, Rogue waves: Theory, methods, and applications—30 years after the Draupner wave

Journal Articles

The fractional nonlinear Schrödinger equation: Soliton turbulence, modulation instability, and extreme rogue waves

Ming Zhong, Weifang Weng, Boling Guo, Zhenya Yan

Chaos 35, 013131 (2025)

https://doi.org/10.1063/5.0242142

Published: January 2025

View articletitled, The fractional nonlinear Schrödinger equation: Soliton turbulence, modulation instability, and extreme rogue waves

Journal Articles

Interactions and asymptotic analysis of N-soliton solutions for the n-component generalized higher-order Sasa–Satsuma equations

Zhuojie Lin, Zhenya Yan

Chaos 34, 123145 (2024)

https://doi.org/10.1063/5.0237425

Published: December 2024

View articletitled, Interactions and asymptotic analysis of N-soliton solutions for the n-component generalized higher-order Sasa–Satsuma equations

Journal Articles

Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials

Zijian Zhou, Zhenya Yan

Chaos 34, 103114 (2024)

https://doi.org/10.1063/5.0231120

Published: October 2024

View articletitled, Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials

Journal Articles

Rossby waves with barotropic–baroclinic coherent structures and dynamics for the (2 + 1)-dimensional coupled cylindrical KP equations with variable coefficients

Tianle Yin, Yajun Du, Weiqing Wang, Jing Pang, Zhenya Yan

Chaos 34, 093120 (2024)

https://doi.org/10.1063/5.0228604

Published: September 2024

View articletitled, Rossby waves with barotropic–baroclinic coherent structures and dynamics for the (2 + 1)-dimensional coupled cylindrical KP equations with variable coefficients

Journal Articles

Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque

Xiao-Yong Wen, Xue-Ke Liu, Yong Chen, Zhenya Yan

Chaos 34, 033131 (2024)

https://doi.org/10.1063/5.0191956

Published: March 2024

View articletitled, Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque

Journal Articles

Formation, propagation, and excitation of matter solitons and rogue waves in chiral BECs with a current nonlinearity trapped in external potentials

Jin Song, Zhenya Yan

Chaos 33, 103132 (2023)

https://doi.org/10.1063/5.0166738

Published: October 2023

View articletitled, Formation, propagation, and excitation of matter solitons and rogue waves in chiral BECs with a current nonlinearity trapped in external potentials

Journal Articles

Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a P T -symmetric potential

Jin Song, Zhenya Yan, Boris A. Malomed

Chaos 33, 033141 (2023)

https://doi.org/10.1063/5.0138420

Published: March 2023

View articletitled, Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a P T -symmetric potential

Journal Articles

Spontaneous symmetry breaking and ghost states supported by the fractional P T -symmetric saturable nonlinear Schrödinger equation

Ming Zhong, Li Wang, Pengfei Li, Zhenya Yan

Chaos 33, 013106 (2023)

https://doi.org/10.1063/5.0128910

Published: January 2023

View articletitled, Spontaneous symmetry breaking and ghost states supported by the fractional P T -symmetric saturable nonlinear Schrödinger equation

Journal Articles

Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations

Weifang Weng, Minghe Zhang, Guoqiang Zhang, Zhenya Yan

Chaos 32, 123110 (2022)

https://doi.org/10.1063/5.0101921

Published: December 2022

View articletitled, Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations

Journal Articles

Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with P T - δ -hyperbolic-function potentials

Yong Chen, Jin Song, Xin Li, Zhenya Yan

Chaos 32, 023122 (2022)

https://doi.org/10.1063/5.0080485

Published: February 2022

View articletitled, Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with P T - δ -hyperbolic-function potentials

Journal Articles

Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

Guoqiang Zhang, Liming Ling, Zhenya Yan, Vladimir V. Konotop

Chaos 31, 063120 (2021)

https://doi.org/10.1063/5.0048922

Published: June 2021

View articletitled, Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

Journal Articles

Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions

Li Wang, Zhenya Yan, Boling Guo

Chaos 30, 013114 (2020)

https://doi.org/10.1063/1.5129313

Published: January 2020

View articletitled, Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions

Journal Articles

Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval

Zhenya Yan

J. Math. Phys. 60, 083511 (2019)

https://doi.org/10.1063/1.5058722

Published: August 2019

View articletitled, Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval

Journal Articles

Stable flat-top solitons and peakons in the P T -symmetric δ -signum potentials and nonlinear media

Yong Chen, Zhenya Yan, Dumitru Mihalache

Chaos 29, 083108 (2019)

https://doi.org/10.1063/1.5100294

Published: August 2019

View articletitled, Stable flat-top solitons and peakons in the P T -symmetric δ -signum potentials and nonlinear media

Journal Articles

Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation

Xiao-Yong Wen, Zhenya Yan

J. Math. Phys. 59, 073511 (2018)

https://doi.org/10.1063/1.5048512

Published: July 2018

View articletitled, Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation

Journal Articles

Effect of P T symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media

Yujia Shen, Zichao Wen, Zhenya Yan, Chao Hang

Chaos 28, 043104 (2018)

https://doi.org/10.1063/1.5018107

Published: April 2018

View articletitled, Effect of P T symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media

Journal Articles

Multi-dark-dark solitons of the integrable repulsive AB system via the determinants

Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen

Chaos 27, 083110 (2017)

https://doi.org/10.1063/1.4998140

Published: August 2017

View articletitled, Multi-dark-dark solitons of the integrable repulsive AB system via the determinants

Journal Articles

The nonlinear Schrödinger equation with generalized nonlinearities and P T -symmetric potentials: Stable solitons, interactions, and excitations

Zhenya Yan, Yong Chen

Chaos 27, 073114 (2017)

https://doi.org/10.1063/1.4995363

Published: July 2017

View articletitled, The nonlinear Schrödinger equation with generalized nonlinearities and P T -symmetric potentials: Stable solitons, interactions, and excitations

Journal Articles

An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line

Zhenya Yan

Chaos 27, 053117 (2017)

https://doi.org/10.1063/1.4984025

Published: May 2017

View articletitled, An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line

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Rogue waves: Theory, methods, and applications—30 years after the Draupner wave

The fractional nonlinear Schrödinger equation: Soliton turbulence, modulation instability, and extreme rogue waves

Interactions and asymptotic analysis of N-soliton solutions for the n-component generalized higher-order Sasa–Satsuma equations

Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials

Rossby waves with barotropic–baroclinic coherent structures and dynamics for the (2 + 1)-dimensional coupled cylindrical KP equations with variable coefficients

Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin-transfer torque

Formation, propagation, and excitation of matter solitons and rogue waves in chiral BECs with a current nonlinearity trapped in external potentials

Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a P T -symmetric potential

Spontaneous symmetry breaking and ghost states supported by the fractional P T -symmetric saturable nonlinear Schrödinger equation

Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations

Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with P T - δ -hyperbolic-function potentials

Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions

Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval

Stable flat-top solitons and peakons in the P T -symmetric δ -signum potentials and nonlinear media

Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation

Effect of P T symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media

Multi-dark-dark solitons of the integrable repulsive AB system via the determinants

The nonlinear Schrödinger equation with generalized nonlinearities and P T -symmetric potentials: Stable solitons, interactions, and excitations

An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line

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