Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

Research output: Contribution to journalJournal article – Annual report year: 2001Researchpeer-review

Standard

Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation. / Karpman, V.I.; Juul Rasmussen, J.; Shagalov, A.G.

In: Physical Review E, Vol. 64, No. 2, 2001, p. 026614.1-026614.13.

Research output: Contribution to journalJournal article – Annual report year: 2001Researchpeer-review

Harvard

APA

CBE

MLA

Vancouver

Author

Bibtex

@article{3206745703b94bafa45f50a7018d6bf1,
title = "Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schr{\"o}dinger equation",
abstract = "The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrodinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha (3) (alpha (3) is the coefficient in the third derivative term) and vanish at alpha3 -->0. The most essential, at small alpha (3), is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and also in numerical experiments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significance.",
keywords = "Optik og sensorsystemer",
author = "V.I. Karpman and {Juul Rasmussen}, J. and A.G. Shagalov",
year = "2001",
doi = "10.1103/PhysRevE.64.026614",
language = "English",
volume = "64",
pages = "026614.1--026614.13",
journal = "Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrödinger equation

AU - Karpman, V.I.

AU - Juul Rasmussen, J.

AU - Shagalov, A.G.

PY - 2001

Y1 - 2001

N2 - The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrodinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha (3) (alpha (3) is the coefficient in the third derivative term) and vanish at alpha3 -->0. The most essential, at small alpha (3), is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and also in numerical experiments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significance.

AB - The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrodinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; they are not important at small alpha (3) (alpha (3) is the coefficient in the third derivative term) and vanish at alpha3 -->0. The most essential, at small alpha (3), is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and also in numerical experiments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significance.

KW - Optik og sensorsystemer

U2 - 10.1103/PhysRevE.64.026614

DO - 10.1103/PhysRevE.64.026614

M3 - Journal article

VL - 64

SP - 026614.1-026614.13

JO - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

SN - 2470-0045

IS - 2

ER -