Solitons in a 3d integrable model

S. M. Sergeev

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

Original languageEnglish
Pages (from-to)364-368
Number of pages5
JournalPhysics Letters. Section A: General, Atomic and Solid State Physics
Volume265
Issue number5-6
DOIs
Publication statusPublished - 7 Feb 2000
Externally publishedYes

Fingerprint

equations of motion
solitary waves
linear systems
phase shift

Cite this

@article{d1a13446819e4e4f87ae46890d047974,
title = "Solitons in a 3d integrable model",
abstract = "Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.",
keywords = "integrable model",
author = "Sergeev, {S. M.}",
year = "2000",
month = "2",
day = "7",
doi = "10.1016/S0375-9601(99)00849-X",
language = "English",
volume = "265",
pages = "364--368",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "5-6",

}

Solitons in a 3d integrable model. / Sergeev, S. M.

In: Physics Letters. Section A: General, Atomic and Solid State Physics, Vol. 265, No. 5-6, 07.02.2000, p. 364-368.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Solitons in a 3d integrable model

AU - Sergeev, S. M.

PY - 2000/2/7

Y1 - 2000/2/7

N2 - Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

AB - Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

KW - integrable model

UR - http://www.scopus.com/inward/record.url?scp=0034614913&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(99)00849-X

DO - 10.1016/S0375-9601(99)00849-X

M3 - Article

VL - 265

SP - 364

EP - 368

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 5-6

ER -