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Title: Existence of solitons in infinite lattice

Abstract

We consider necessary conditions for existence of optical solitons in one-dimensional nonlinear periodic layered array. We show analytically that in the array with the cubic-quintic nonlinearity bistable solitons are possible whereas for the Kerr nonlinearity they never exist. We investigate asymptotic behavior of the soliton amplitude at infinity. With help of the asymptotic a numerical algorithm for searching the solitons may be developed so that finding a soliton on finite interval is simultaneously the numerical proof of its existence on infinite interval.

Authors:
 [1]
  1. Department of Electrical Engineering-Physical Electronics, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978 (Israel)
Publication Date:
OSTI Identifier:
20778713
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.73.027601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; SOLITONS

Citation Formats

Gisin, Boris V. Existence of solitons in infinite lattice. United States: N. p., 2006. Web. doi:10.1103/PHYSREVE.73.0.
Gisin, Boris V. Existence of solitons in infinite lattice. United States. doi:10.1103/PHYSREVE.73.0.
Gisin, Boris V. Wed . "Existence of solitons in infinite lattice". United States. doi:10.1103/PHYSREVE.73.0.
@article{osti_20778713,
title = {Existence of solitons in infinite lattice},
author = {Gisin, Boris V.},
abstractNote = {We consider necessary conditions for existence of optical solitons in one-dimensional nonlinear periodic layered array. We show analytically that in the array with the cubic-quintic nonlinearity bistable solitons are possible whereas for the Kerr nonlinearity they never exist. We investigate asymptotic behavior of the soliton amplitude at infinity. With help of the asymptotic a numerical algorithm for searching the solitons may be developed so that finding a soliton on finite interval is simultaneously the numerical proof of its existence on infinite interval.},
doi = {10.1103/PHYSREVE.73.0},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}