Bifurcation of gap solitons through catastrophe theory

Details Bifurcation of gap solitons through catastrophe theory Bifurcation of gap solitons through catastrophe theory

2001-04-13

arxiv.org/abs/physics/0104042v1

Physics

Optics

6 pages, 3 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.64.036617

In the theory of optical gap solitons, slowly-moving finite-amplitude Lorentzian solutions are found to mediate the transition from bright to coexistent dark-antidark solitary wave pairs when the laser frequency is detuned out of the proper edge of a dynamical photonic bandgap. Catastrophe theory is applied to give a geometrical description of this strongly asymmetrical 'morphing' process.

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