dorsal/arxiv
View SchemaCoupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media
| Authors | R. Radhakrishnan, A. Kundu, M. Lakshmanan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9905006 |
| URL | https://arxiv.org/abs/solv-int/9905006 |
| DOI | 10.1103/PhysRevE.60.3314 |
Abstract
We propose an integrable system of coupled nonlinear Schrodinger equations with cubic-quintic terms describing the effects of quintic nonlinearity on the ultra-short optical soliton pulse propagation in non-Kerr media. Lax pair, conserved quantities and exact soliton solutions for the proposed integrable model are given. Explicit form of two-solitons are used to study soliton interaction showing many intriguing features including inelastic (shape changing) scattering. Another novel system of coupled equations with fifth-degree nonlinearity is derived, which represents vector generalization of the known chiral-soliton bearing system.
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"abstract": "We propose an integrable system of coupled nonlinear Schrodinger equations\nwith cubic-quintic terms describing the effects of quintic nonlinearity on the\nultra-short optical soliton pulse propagation in non-Kerr media. Lax pair,\nconserved quantities and exact soliton solutions for the proposed integrable\nmodel are given. Explicit form of two-solitons are used to study soliton\ninteraction showing many intriguing features including inelastic (shape\nchanging) scattering. Another novel system of coupled equations with\nfifth-degree nonlinearity is derived, which represents vector generalization of\nthe known chiral-soliton bearing system.",
"arxiv_id": "solv-int/9905006",
"authors": [
"R. Radhakrishnan",
"A. Kundu",
"M. Lakshmanan"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.60.3314",
"title": "Coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media",
"url": "https://arxiv.org/abs/solv-int/9905006"
},
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