Bifurcation of gap solitons through catastrophe theory.
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 band gap. Catastrophe theory is applied to give a geometrical description of this strongly asymmetrical "morphing" process.
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Department of Engineering, University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy.
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