Existence of solitons in infinite lattice

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.73.0· OSTI ID:20778713

Gisin, Boris V ^[1]

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1. Department of Electrical Engineering-Physical Electronics, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978 (Israel)

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.

• OSTI ID: 20778713
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevE.73.027601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
SOLITONS