Shedding and interaction of solitons in imperfect medium

M. Chertkov; I. Gabitov; I. Kolokolov; V. Lebedev

doi:10.1134/1.1427121

Shedding and interaction of solitons in imperfect medium

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

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

8 Scopus citations

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 language	English (US)
Pages (from-to)	357-361
Number of pages	5
Journal	JETP Letters
Volume	74
Issue number	7
DOIs	https://doi.org/10.1134/1.1427121
State	Published - Oct 10 2001
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1134/1.1427121

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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 I. Gabitov and I. Kolokolov and V. Lebedev",

note = "Funding Information: We are grateful to G.D. Doolen for useful comments. This work was supported by the LDRD ER 2001109 at LANL; the J. R. Oppenheimer fellowship (MC), DOE through Contract no. W-7-405-ENG-36 and its Program in Applied Mathematical Sciences, KJ-01-01 (IG); and the Russian Foundation for Basic Research (project no. 00-02-17652) (IK).",

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doi = "10.1134/1.1427121",

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T1 - Shedding and interaction of solitons in imperfect medium

AU - Chertkov, M.

AU - Gabitov, I.

AU - Kolokolov, I.

AU - Lebedev, V.

N1 - Funding Information: We are grateful to G.D. Doolen for useful comments. This work was supported by the LDRD ER 2001109 at LANL; the J. R. Oppenheimer fellowship (MC), DOE through Contract no. W-7-405-ENG-36 and its Program in Applied Mathematical Sciences, KJ-01-01 (IG); and the Russian Foundation for Basic Research (project no. 00-02-17652) (IK).

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.

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Shedding and interaction of solitons in imperfect medium

Abstract

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