Shedding and interaction of solitons in imperfect medium

M. Chertkov, Ildar R Gabitov, I. Kolokolov, V. Lebedev

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The propagation of a soliton pattern through one-dimensional medium with weakly disordered dispersion is considered. Solitons, perturbed by this disorder, radiate. The emergence of a long-range interaction between the solitons, mediated by the radiation, is reported. Basic soliton patterns are analyzed. The interaction is triple and is extremely sensitive to the phase mismatch and relative spatial separations within the pattern. This phenomenon is a generic feature of any problem explaining adiabatic evolution of solitons through a medium with frozen disorder.

Original languageEnglish (US)
Pages (from-to)357-361
Number of pages5
JournalJETP Letters
Volume74
Issue number7
DOIs
StatePublished - Oct 10 2001
Externally publishedYes

Fingerprint

solitary waves
interactions
disorders
propagation
radiation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Shedding and interaction of solitons in imperfect medium. / Chertkov, M.; Gabitov, Ildar R; Kolokolov, I.; Lebedev, V.

In: JETP Letters, Vol. 74, No. 7, 10.10.2001, p. 357-361.

Research output: Contribution to journalArticle

Chertkov, M, Gabitov, IR, Kolokolov, I & Lebedev, V 2001, 'Shedding and interaction of solitons in imperfect medium', JETP Letters, vol. 74, no. 7, pp. 357-361. https://doi.org/10.1134/1.1427121
Chertkov, M. ; Gabitov, Ildar R ; Kolokolov, I. ; Lebedev, V. / Shedding and interaction of solitons in imperfect medium. In: JETP Letters. 2001 ; Vol. 74, No. 7. pp. 357-361.
@article{7c1a5d8922ce43bcbafb9e652404ba4c,
title = "Shedding and interaction of solitons in imperfect medium",
abstract = "The propagation of a soliton pattern through one-dimensional medium with weakly disordered dispersion is considered. Solitons, perturbed by this disorder, radiate. The emergence of a long-range interaction between the solitons, mediated by the radiation, is reported. Basic soliton patterns are analyzed. The interaction is triple and is extremely sensitive to the phase mismatch and relative spatial separations within the pattern. This phenomenon is a generic feature of any problem explaining adiabatic evolution of solitons through a medium with frozen disorder.",
author = "M. Chertkov and Gabitov, {Ildar R} and I. Kolokolov and V. Lebedev",
year = "2001",
month = "10",
day = "10",
doi = "10.1134/1.1427121",
language = "English (US)",
volume = "74",
pages = "357--361",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "7",

}

TY - JOUR

T1 - Shedding and interaction of solitons in imperfect medium

AU - Chertkov, M.

AU - Gabitov, Ildar R

AU - Kolokolov, I.

AU - Lebedev, V.

PY - 2001/10/10

Y1 - 2001/10/10

N2 - The propagation of a soliton pattern through one-dimensional medium with weakly disordered dispersion is considered. Solitons, perturbed by this disorder, radiate. The emergence of a long-range interaction between the solitons, mediated by the radiation, is reported. Basic soliton patterns are analyzed. The interaction is triple and is extremely sensitive to the phase mismatch and relative spatial separations within the pattern. This phenomenon is a generic feature of any problem explaining adiabatic evolution of solitons through a medium with frozen disorder.

AB - The propagation of a soliton pattern through one-dimensional medium with weakly disordered dispersion is considered. Solitons, perturbed by this disorder, radiate. The emergence of a long-range interaction between the solitons, mediated by the radiation, is reported. Basic soliton patterns are analyzed. The interaction is triple and is extremely sensitive to the phase mismatch and relative spatial separations within the pattern. This phenomenon is a generic feature of any problem explaining adiabatic evolution of solitons through a medium with frozen disorder.

UR - http://www.scopus.com/inward/record.url?scp=0040672056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040672056&partnerID=8YFLogxK

U2 - 10.1134/1.1427121

DO - 10.1134/1.1427121

M3 - Article

VL - 74

SP - 357

EP - 361

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 7

ER -