# Switch between the Types of the Symmetry Breaking Bifurcation in Optically Induced Photorefractive Rotational Double-Well Potential

@article{Chen2012SwitchBT,
title={Switch between the Types of the Symmetry Breaking Bifurcation in Optically Induced Photorefractive Rotational Double-Well Potential},
author={Guihua Chen and Jianxiong Wu and Zhihuan Luo},
journal={Journal of the Physical Society of Japan},
year={2012},
volume={82},
pages={034401-034401}
}
• Published 6 November 2012
• Physics
• Journal of the Physical Society of Japan
We study the possibility of switching the types of symmetry breaking bifurcation (SBB) in the cylinder shell waveguide with helical double-well potential along propagation direction. This model is described by the one-dimensional nonlinear Schrodinger (NLS) equation. The symmetry- and antisymmetry-breakings can be caused by increasing the applied voltage onto the waveguide in the self-focusing and -defocusing cases, respectively. In the self-focusing case, the type of SBB can be switched from…
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## References

SHOWING 1-10 OF 38 REFERENCES

• Physics
• 2007
We consider a two-dimensional 2D nonlinear Schrodinger equation with self-focusing nonlinearity and a quasi-1D double-channel potential, i.e., a straightforward 2D extension of the well-known
• Physics
• 2012
We study modes trapped in a rotating ring carrying the self-focusing (SF) or defocusing (SDF) cubic nonlinearity and double-well potential $\cos^{2}\theta$, where $\theta$ is the angular
• Physics
• 2011
We demonstrate that spatial solitons undergo two consecutive spontaneous symmetry breakings (SSBs), with the increase of the total power, in nonlinear photonic crystals (PhCs) built as arrays of
• Physics
• 2010
We analyze the symmetry breaking of matter-wave solitons in a pair of cigar-shaped traps coupled by tunneling of atoms. The model is based on a system of linearly coupled nonpolynomial Schroedinger
• Physics
Optics letters
• 2008
A transition from self-focusing to -defocusing and from discrete to gap solitons solely by adjusting the optical-beam orientation is demonstrated.
• Physics
• 2013
We study effects of the spontaneous symmetry-breaking (SSB) in solitons built of the dipolar Bose-Einstein condensate (BEC), trapped in a dual-core system with the dipole-dipole interactions (DDIs)
• Mathematics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2006
Using a Galerkin-type approach, a detailed handle is obtained on the nonlinear solution branches of the problem, starting from the corresponding linear ones, and the relevant bifurcations for both attractive and repulsive nonlinearities are predicted.
• Physics
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2011
We revisit the problem of the spontaneous symmetry breaking (SSB) of solitons in two-component linearly coupled nonlinear systems, adding the nonlinear interaction between the components. With this
• Physics
• 2009
Theoretical analysis to the defect mediated discrete solitons in one- and two-dimensional periodical waveguide lattices is presented. The waveguide arrays with these functional defects are assumed to