Effect of weak discreteness on two-soliton collisions in nonlinear Schrödinger equation

Denis A. Semagin; Sergey V. Dmitriev; Takeshi Shigenari; Yuri S. Kivshar; Andrey A. Sukhorukov

doi:10.1016/S0921-4526(02)00441-6

Effect of weak discreteness on two-soliton collisions in nonlinear Schrödinger equation

Denis A. Semagin^*
, Sergey V. Dmitriev
, Takeshi Shigenari
, Yuri S. Kivshar
, Andrey A. Sukhorukov

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

We predict the possibility of strongly inelastic soliton collisions in a weakly discrete medium from the analysis of two-soliton solution to the nonlinear Schrödinger equation and confirm the prediction numerically. The effect turns out to be qualitatively independent on the particular type of perturbation. The conditions of mutual trapping of the colliding solitons are discussed as well.

Original language	English
Pages (from-to)	136-138
Number of pages	3
Journal	Physica B: Condensed Matter
Volume	316-317
DOIs	https://doi.org/10.1016/S0921-4526(02)00441-6
Publication status	Published - May 2002

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title = "Effect of weak discreteness on two-soliton collisions in nonlinear Schr{\"o}dinger equation",

abstract = "We predict the possibility of strongly inelastic soliton collisions in a weakly discrete medium from the analysis of two-soliton solution to the nonlinear Schr{\"o}dinger equation and confirm the prediction numerically. The effect turns out to be qualitatively independent on the particular type of perturbation. The conditions of mutual trapping of the colliding solitons are discussed as well.",

keywords = "Inelastic, Self-similar, Two-soliton",

author = "Semagin, \{Denis A.\} and Dmitriev, \{Sergey V.\} and Takeshi Shigenari and Kivshar, \{Yuri S.\} and Sukhorukov, \{Andrey A.\}",

year = "2002",

month = may,

doi = "10.1016/S0921-4526(02)00441-6",

language = "English",

volume = "316-317",

pages = "136--138",

journal = "Physica B: Condensed Matter",

issn = "0921-4526",

publisher = "Elsevier B.V.",

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T1 - Effect of weak discreteness on two-soliton collisions in nonlinear Schrödinger equation

AU - Semagin, Denis A.

AU - Dmitriev, Sergey V.

AU - Shigenari, Takeshi

AU - Kivshar, Yuri S.

AU - Sukhorukov, Andrey A.

PY - 2002/5

Y1 - 2002/5

N2 - We predict the possibility of strongly inelastic soliton collisions in a weakly discrete medium from the analysis of two-soliton solution to the nonlinear Schrödinger equation and confirm the prediction numerically. The effect turns out to be qualitatively independent on the particular type of perturbation. The conditions of mutual trapping of the colliding solitons are discussed as well.

AB - We predict the possibility of strongly inelastic soliton collisions in a weakly discrete medium from the analysis of two-soliton solution to the nonlinear Schrödinger equation and confirm the prediction numerically. The effect turns out to be qualitatively independent on the particular type of perturbation. The conditions of mutual trapping of the colliding solitons are discussed as well.

KW - Inelastic

KW - Self-similar

KW - Two-soliton

UR - https://www.scopus.com/pages/publications/0036567607

U2 - 10.1016/S0921-4526(02)00441-6

DO - 10.1016/S0921-4526(02)00441-6

M3 - Article

SN - 0921-4526

VL - 316-317

SP - 136

EP - 138

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

ER -

Effect of weak discreteness on two-soliton collisions in nonlinear Schrödinger equation

Abstract

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