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EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

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Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations

Skryabin, Dmitry V. and Firth, William J. (1999) Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 60 (1). pp. 1019-1029. ISSN 1063-651X

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Abstract

We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schrödinger equations. Varying the relative strength of cross-phase and self-phase effects we show the existence and origin of four branches of MI of the two-wave solitary solutions. We give a physical interpretation of our results in terms of the group-velocity-dispersion- (GVD-) induced polarization dynamics of spatial solitary waves. In particular, we show that in media with normal GVD spatial symmetry breaking changes to polarization symmetry breaking when the relative strength of the cross-phase modulation exceeds a certain threshold value. The analytical and numerical stability analyses are fully supported by an extensive series of numerical simulations of the full model.