Discrete soliton collisions in a waveguide array with saturable nonlinearity

J. Cuevas; J. C. Eilbeck

doi:10.1016/j.physleta.2006.04.095

Discrete soliton collisions in a waveguide array with saturable nonlinearity

J. Cuevas
, J. C. Eilbeck

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of mobile breathers with high power. Three main regimes are observed: breather fusion, breather reflection and breather creation. The last regime seems to be exclusive of systems with a saturable nonlinearity, and has been previously observed in continuous models. In some cases a "symmetry breaking" can be observed, which we show to be an numerical artifact. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	15-20
Number of pages	6
Journal	Physics Letters A
Volume	358
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2006.04.095
Publication status	Published - 2 Oct 2006

Keywords

Saturable nonlinearity
Solitons
Waveguide arrays

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10.1016/j.physleta.2006.04.095

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abstract = "We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of mobile breathers with high power. Three main regimes are observed: breather fusion, breather reflection and breather creation. The last regime seems to be exclusive of systems with a saturable nonlinearity, and has been previously observed in continuous models. In some cases a {"}symmetry breaking{"} can be observed, which we show to be an numerical artifact. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

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AU - Eilbeck, J. C.

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AB - We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of mobile breathers with high power. Three main regimes are observed: breather fusion, breather reflection and breather creation. The last regime seems to be exclusive of systems with a saturable nonlinearity, and has been previously observed in continuous models. In some cases a "symmetry breaking" can be observed, which we show to be an numerical artifact. © 2006 Elsevier B.V. All rights reserved.

KW - Saturable nonlinearity

KW - Solitons

KW - Waveguide arrays

UR - https://www.scopus.com/pages/publications/33746714382

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DO - 10.1016/j.physleta.2006.04.095

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VL - 358

SP - 15

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JO - Physics Letters A

JF - Physics Letters A

IS - 1

ER -

Discrete soliton collisions in a waveguide array with saturable nonlinearity

Abstract

Keywords

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