Rogue waves, presented in numerous fields of science, are attracting significant attention. We study the excitation of electromagnetic rogue waves in magnetized plasmas caused by the thermal electron anisotropic loss cone distribution. The Krylov-Bogoliubov-Mitropolsky method is used to derive the nonlinear Schrödinger equation (NLSE) from collisionless magnetohydrodynamics equations satisfied by electrons. By solving numerically the one-dimensional NLSE, the rogue waves can be excited owing to their association with modulational instability. We can obtain the initial magnetic field conditions necessary for the excitation of electromagnetic rogue waves from the plane wave solution satisfied by the vector potential. Meanwhile, we apply a 2.5D fully kinetic particle-in-cell (PIC) method to simulate the excitation of electromagnetic rogue waves in magnetized plasmas. The PIC simulation results show that the excitation of electromagnetic rogue waves is primarily caused by the instability of the transverse perturbation components.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.110.065214 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations.
Sci Rep
March 2025
Department of Electrical Engineering, Imam Khomeini Naval Science University of Nowshahr, Nowshahr, Iran.
Nerve signal conduction, and particularly in myelinated nerve fibers, is a highly dynamic phenomenon that is affected by various biological and physical factors. The propagation of such moving electric signals may seemingly help elucidate the mechanisms underlying normal and abnormal functioning. This work aims to derive the exact physical wave solutions of the nonlinear partial differential equations with fractional beta-derivatives for the cases of transmission of nerve impulses in coupled nerves.
View Article and Find Full Text PDFGeneral rogue waves and modulation instability of the generalized coupled nonlinear Schrödinger system in optical pulses.
Chaos
March 2025
School of Mathematical Sciences, Zhejiang University of Technology, Hangzhou 310023, People's Republic of China.
We focus on rogue waves and modulation instability (MI) of the generalized coupled nonlinear Schrödinger (GCNLS) system in optical pulses. Through the Kadomtsev-Petviashvili hierarchy reduction method, general high-order rogue wave solutions in Gram determinant form at p=p0 are constructed, which contain derivative operators with respect to parameters p and q. We reduce solutions to purely algebraic expressions with the aid of the elementary Schur polynomials.
View Article and Find Full Text PDFExcitation of electromagnetic rogue waves in magnetized plasmas.
Phys Rev E
December 2024
Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, Institute of Space Sciences, Shandong University, Weihai 264209, China.
Rogue waves, presented in numerous fields of science, are attracting significant attention. We study the excitation of electromagnetic rogue waves in magnetized plasmas caused by the thermal electron anisotropic loss cone distribution. The Krylov-Bogoliubov-Mitropolsky method is used to derive the nonlinear Schrödinger equation (NLSE) from collisionless magnetohydrodynamics equations satisfied by electrons.
View Article and Find Full Text PDFThe fractional nonlinear Schrödinger equation: Soliton turbulence, modulation instability, and extreme rogue waves.
Chaos
January 2025
KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
In this paper, we undertake a systematic exploration of soliton turbulent phenomena and the emergence of extreme rogue waves within the framework of the one-dimensional fractional nonlinear Schrödinger (FNLS) equation, which appears in many fields, such as nonlinear optics, Bose-Einstein condensates, plasma physics, etc. By initiating simulations with a plane wave modulated by small noise, we scrutinized the universal regimes of non-stationary turbulence through various statistical indices. Our analysis elucidates a marked increase in the probability of rogue wave occurrences as the system evolves within a certain range of Lévy index α, which can be ascribed to the broadened modulation instability bandwidth.
View Article and Find Full Text PDFSoliton and rogue wave excitations in the Chen-Lee-Liu derivative nonlinear Schrödinger equation with two complex PT-symmetric potentials.
Chaos
January 2025
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China.
We demonstrate that fundamental nonlinear localized modes can exist in the Chen-Lee-Liu equation modified by several parity-time (PT) symmetric complex potentials. The explicit formula of analytical solitons is derived from the physically interesting Scarf-II potential, and families of spatial solitons in internal modes are numerically captured under the optical lattice potential. By the spectral analysis of linear stability, we observe that these bright solitons can remain stable across a broad scope of potential parameters, despite the breaking of the corresponding linear PT-symmetric phases.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!