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Bifurcation picture for gap solitons in nonlinear modulated systems
A S Kovalev1, O V Usatenko, A V Gorbatch
1Institute for Low Temperature Physics and Engineering, 47 Lenin Avenue, Kharkov, 310164, Ukraine.
Summary
This study analyzes nonlinear wave propagation in periodic media, focusing on soliton excitations. Researchers examined four media types, revealing insights into soliton behavior near the wave spectrum gap.
Area of Science:
- Physics
- Condensed Matter Physics
- Nonlinear Dynamics
Background:
- Nonlinear wave propagation in periodic media is a complex phenomenon.
- Understanding soliton behavior is crucial for various applications.
- Periodic nonlinear media present unique challenges for wave dynamics.
Purpose of the Study:
- To investigate nonlinear wave propagation in four distinct classes of periodic nonlinear media.
- To qualitatively analyze small-amplitude soliton excitations near the linear wave spectrum gap.
- To study the influence of medium parameters on soliton solutions and system dynamics.
Main Methods:
- Analysis of nonlinear diatomic elastic chains.
- Investigation of modulated nonlinear optical media.
- Study of diatomic easy-axis ferromagnetic chains.
- Examination of easy-plane antiferromagnets in external magnetic fields.
Main Results:
- Qualitative analysis of small-amplitude soliton excitations with frequencies in and near the gap of the linear wave spectrum.
- Characterization of soliton behavior across diverse periodic nonlinear media.
- Identification of key parameters influencing soliton dynamics.
Conclusions:
- The study provides a comprehensive analysis of soliton excitations in periodic nonlinear media.
- Findings offer insights into the behavior of nonlinear waves in complex material systems.
- The research contributes to the understanding of soliton bifurcations and phase portraits.