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Self-induced gap solitons in nonlinear magnetic metamaterials
Weina Cui1, Yongyuan Zhu, Hongxia Li
1National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, People's Republic of China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
Self-induced gap solitons, localized magnetic structures, exist in nonlinear metamaterials due to combined discreteness and nonlinearity. Their evolution is analyzed using phase plane methods, yielding analytical and numerical expressions.
Area of Science:
- Condensed matter physics
- Materials science
- Nonlinear optics
Background:
- Nonlinear magnetic metamaterials exhibit unique electromagnetic properties.
- Localized structures like solitons are crucial for wave propagation control.
- Understanding soliton formation in discrete nonlinear systems is an ongoing challenge.
Purpose of the Study:
- To investigate the existence and properties of self-induced gap solitons in nonlinear magnetic metamaterials.
- To explore the interplay between discreteness and nonlinearity in forming these solitons.
- To derive analytical and numerical descriptions for the evolution of these localized structures.
Main Methods:
- Theoretical analysis of nonlinear magnetic metamaterials.
- Phase plane analysis to study the dynamics of localized structures.
- Development of analytical and numerical models for soliton evolution.
Main Results:
- Demonstrated the existence of self-induced gap solitons.
- Identified the crucial role of the interaction between discreteness and nonlinearity.
- Obtained analytical and numerical expressions characterizing soliton evolution.
Conclusions:
- Self-induced gap solitons are a viable phenomenon in nonlinear magnetic metamaterials.
- The findings provide a theoretical framework for understanding and controlling these solitons.
- This research contributes to the development of novel magnetic devices and wave propagation applications.
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