Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

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

[img]
Preview
PDF (strathprints006474.pdf)
strathprints006474.pdf - Accepted Author Manuscript

Download (354kB) | Preview

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.