dorsal/arxiv
View SchemaModulational instability of bright solitary waves in incoherently coupled nonlinear Schr\"odinger equations
| Authors | Dmitry V. Skryabin, William J. Firth |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9906006 |
| URL | https://arxiv.org/abs/patt-sol/9906006 |
| DOI | 10.1103/PhysRevE.60.6242.2 |
Abstract
We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schr\"odinger equations. Varying the relative strength of cross-phase and self-phase effects we show 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.
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"date_created": "2026-03-02T18:00:29.316000Z",
"date_modified": "2026-03-02T18:00:29.316000Z",
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"abstract": "We present a detailed analysis of the modulational instability (MI) of\nground-state bright solitary solutions of two incoherently coupled nonlinear\nSchr\\\"odinger equations. Varying the relative strength of cross-phase and\nself-phase effects we show existence and origin of four branches of MI of the\ntwo-wave solitary solutions. We give a physical interpretation of our results\nin terms of the group velocity dispersion (GVD) induced polarization dynamics\nof spatial solitary waves. In particular, we show that in media with normal GVD\nspatial symmetry breaking changes to polarization symmetry breaking when the\nrelative strength of the cross-phase modulation exceeds a certain threshold\nvalue. The analytical and numerical stability analyses are fully supported by\nan extensive series of numerical simulations of the full model.",
"arxiv_id": "patt-sol/9906006",
"authors": [
"Dmitry V. Skryabin",
"William J. Firth"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.60.6242.2",
"title": "Modulational instability of bright solitary waves in incoherently coupled nonlinear Schr\\\"odinger equations",
"url": "https://arxiv.org/abs/patt-sol/9906006"
},
"schema_id": "dorsal/arxiv",
"source": {
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