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Bright solitons in nonlinear media with a self-defocusing double-well nonlinearity
Qiongtao Xie1, Linmao Wang2, Yizhen Wang2
1College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China and Department of Physics, Hunan Normal University, Changsha 410081, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 24, 2015
Summary
Stable bright solitons emerge in spatially inhomogeneous self-defocusing (SDF) nonlinear media with double-well structures. Researchers found exact solutions and analyzed stability, revealing bifurcations in these optical solitons.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Mathematical physics
Background:
- Optical solitons are self-reinforcing light waves that maintain their shape.
- Nonlinearity in optical media can lead to complex soliton behaviors.
- Double-well potentials are used to study localized phenomena.
Purpose of the Study:
- To investigate the existence and stability of bright solitons in a specific nonlinear medium.
- To find exact analytical solutions for these solitons.
- To explore the parameter space governing soliton stability and dynamics.
Main Methods:
- Analytical solution derivation for fundamental bright solitons.
- Linear stability analysis to determine stable parameter regions.
- Numerical methods to explore soliton bifurcations.
Main Results:
- Stable bright solitons were found to exist in spatially inhomogeneous self-defocusing (SDF) double-well nonlinear media.
- Exact analytical solutions for fundamental bright solitons were obtained for specific nonlinearity parameters.
- The stability region for these solitons was numerically determined, and bifurcations from antisymmetric to asymmetric solitons were observed.
Conclusions:
- Spatially inhomogeneous SDF nonlinearity in a double-well structure supports stable bright solitons.
- The study provides exact solutions and stability criteria for these optical solitons.
- Bifurcation phenomena highlight the complex dynamics possible in such systems.
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