ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Polyakov S. V., Sukhorukov A. P. Gap solitons. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 4, pp. 45-56. DOI: 10.18500/0869-6632-1998-6-4-45-56

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
621.3.09:621.373.1
DOI: 
10.18500/0869-6632-1998-6-4-45-56

Gap solitons

Autors: 
Polyakov Sergey V., Lomonosov Moscow State University
Sukhorukov Anatoly Petrovich, Lomonosov Moscow State University
Abstract: 

In this paper we present the studies of the problem of slow and immobile solitons which are excited inside the stop bands of inhomogeneous media with either quadratic or cubic nonlinearity. We found an integral criterion of slow soliton formation, determined the main properties of gар solitons. The dynamics of parametric gap soliton formation and propagation in quadratic media is illustrated by means of computer simulations and compared with such solitons due to cubic nonlinearity.

Key words: 
-
Acknowledgments: 
The research is supported by RFBR, Program «Russian Scientific Schools» and INTAS (grant 97-0581).
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Received: 
13.07.1998
Accepted: 
26.10.1998
Published: 
10.12.1998
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