The vector nonlinear Schrödinger equations

Ziad Musslimani
University of Colorado

We analyse the transverse instability of two-component vector solitons
in a saturable nonlinear medium, in relation to recent experimental
observations of spatial vector soliton pairs in photorefractive media. We present the stability analysis for all three realizations:
bright-bright, dark-dark, and dark-bright solitons, and demonstrate that
both the nonlinearity saturation and incoherent mode interaction can lead
to a strong suppression of the soliton instability.


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