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

Journal Articles

Asymptotic integrability of nonlinear wave equations

A. M. Kamchatnov

Chaos 34, 113117 (2024)

https://doi.org/10.1063/5.0227082

Published: November 2024

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

Journal Articles

Hydrodynamic modulation instability triggered by a two-wave system

Yuchen He, Jinghua Wang, Bertrand Kibler, Amin Chabchoub

Chaos 34, 103108 (2024)

https://doi.org/10.1063/5.0220359

Published: October 2024

View article titled, Hydrodynamic modulation instability triggered by a two-wave system

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

Journal Articles

Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers

C. N. Wong, H. M. Yin, K. W. Chow

Chaos 34, 083132 (2024)

https://doi.org/10.1063/5.0223458

Published: August 2024

View article titled, Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers

Journal Articles

Beam propagation in cubic–quintic nonlinear optical system supported by modified parity–time symmetric Rosen–Morse complex potential

Jaseera C. P., Aysha Muhsina K., Thasneem A. R.

Chaos 34, 073139 (2024)

https://doi.org/10.1063/5.0216963

Published: July 2024

View article titled, Beam propagation in cubic–quintic nonlinear optical system supported by modified parity–time symmetric Rosen–Morse complex potential

Journal Articles

Localized wave structures: Solitons and beyond

L. Ostrovsky, E. Pelinovsky, V. Shrira, Y. Stepanyants

Chaos 34, 062101 (2024)

https://doi.org/10.1063/5.0210903

Published: June 2024

View article titled, Localized wave structures: Solitons and beyond

Journal Articles

Multi-type synchronization for coupled van der Pol oscillator systems with multiple coupling modes

Shuai Wang, Xue Yang

Chaos 34, 063110 (2024)

https://doi.org/10.1063/5.0212482

Published: June 2024

View article titled, Multi-type synchronization for coupled van der Pol oscillator systems with multiple coupling modes

Journal Articles

PT-symmetric PINN for integrable nonlocal equations: Forward and inverse problems

Wei-Qi Peng, Yong Chen

Chaos 34, 043124 (2024)

https://doi.org/10.1063/5.0197939

Published: April 2024

View article titled, PT-symmetric PINN for integrable nonlocal equations: Forward and inverse problems

Journal Articles

Dynamical modulation of hypersynchronous seizure onset with transcranial magneto-acoustic stimulation in a hippocampal computational model

Zhiyuan Ma, Yuejuan Xu, Gerold Baier, Youjun Liu, Bao Li, Liyuan Zhang

Chaos 34, 043107 (2024)

https://doi.org/10.1063/5.0181510

Published: April 2024

View article titled, Dynamical modulation of hypersynchronous seizure onset with transcranial magneto-acoustic stimulation in a hippocampal computational model

Journal Articles

Efficient termination of cardiac arrhythmias using optogenetic resonant feedback pacing

S. Hussaini, A. Mamyraiym Kyzy, J. Schröder-Schetelig, S. L. Lädke, V. Venkatesan, L. Diaz-Maue, R. A. Quiñonez Uribe, C. Richter, V. N. Biktashev, R. Majumder, V. Krinski, S. Luther

Chaos 34, 031103 (2024)

https://doi.org/10.1063/5.0191519

Published: March 2024

View article titled, Efficient termination of cardiac arrhythmias using optogenetic resonant feedback pacing

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

Journal Articles

Basic fractional nonlinear-wave models and solitons

Boris A. Malomed

Chaos 34, 022102 (2024)

https://doi.org/10.1063/5.0190039

Published: February 2024

View article titled, Basic fractional nonlinear-wave models and solitons

Journal Articles

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

Wencheng Hu, Zhao Zhang, Qi Guo, Yury Stepanyants

Chaos 34, 013138 (2024)

https://doi.org/10.1063/5.0175696

Published: January 2024

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

Journal Articles

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions

Zhao Zhang, Wencheng Hu, Qi Guo, Yury Stepanyants

Chaos 34, 013132 (2024)

https://doi.org/10.1063/5.0175716

Published: January 2024

View article titled, Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions

Journal Articles

Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums

Francis Rolphe Zemtchou, Jeanne Sandrine Mabekou Takam, Patrick Hervé Louodop Fotso, Pierre Kisito Talla

Chaos 33, 123129 (2023)

https://doi.org/10.1063/5.0174987

Published: December 2023

View article titled, Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums

Journal Articles

Transient power dynamics in nematic electroconvection

Justin H. Peel, Marcus J. Daum, Rory T. Cerbus, John Robert Cressman

Chaos 33, 121103 (2023)

https://doi.org/10.1063/5.0063131

Published: December 2023

View article titled, Transient power dynamics in nematic electroconvection

NARROW

Topics

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

Asymptotic integrability of nonlinear wave equations

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

Hydrodynamic modulation instability triggered by a two-wave system

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

Transient modes for the coupled modified Korteweg–de Vries equations with negative cubic nonlinearity: Stability and applications of breathers

Beam propagation in cubic–quintic nonlinear optical system supported by modified parity–time symmetric Rosen–Morse complex potential

Localized wave structures: Solitons and beyond

Multi-type synchronization for coupled van der Pol oscillator systems with multiple coupling modes

PT-symmetric PINN for integrable nonlocal equations: Forward and inverse problems

Dynamical modulation of hypersynchronous seizure onset with transcranial magneto-acoustic stimulation in a hippocampal computational model

Efficient termination of cardiac arrhythmias using optogenetic resonant feedback pacing

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

Basic fractional nonlinear-wave models and solitons

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

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions

Piezoelectric energy harvesting and synchronization of excited and modified Huygens’s pendulums

Transient power dynamics in nematic electroconvection