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The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem

Technical Report:

Abstract

The 2+1-dimensional integrable generalization of the sine-Gordon equation symmetric in the spatial variables is studied by the inverse spectral transform method. The solutions with functional parameters, plane solitons (kinks) and plane breathers are constructed by the dressing method. The initial value problem for this equation with the constant boundaries is solved in both cases {sigma}{sup 2}={+-}1. 21 refs.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
BUDKERINP-92-1; IYaF-92-1.
Reference Number:
SCA: 661100; PA: AIX-25:007041; EDB-94:015563; ERA-19:007528; NTS-94:015089; SN: 94001126768
Resource Relation:
Other Information: PBD: 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM FIELD THEORY; SINE-GORDON EQUATION; BOUNDARY CONDITIONS; CAUCHY PROBLEM; DELTA FUNCTION; INVERSE SCATTERING PROBLEM; KERNELS; KLEIN-GORDON EQUATION; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; SOLITONS; TWO-DIMENSIONAL CALCULATIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113384
Research Organizations:
AN SSSR, Novosibirsk (Russian Federation). Inst. Yadernoj Fiziki
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Other: ON: DE94611074; TRN: RU9305292007041
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
53 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Konopel`chenko, B G, and Dubrovskij, V G. The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem. Russian Federation: N. p., 1992. Web.
Konopel`chenko, B G, & Dubrovskij, V G. The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem. Russian Federation.
Konopel`chenko, B G, and Dubrovskij, V G. 1992. "The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem." Russian Federation.
@misc{etde_10113384,
title = {The 2+1-dimensional integrable generalization of the sine-Gordon equation. Dressing method and initial value problem}
author = {Konopel`chenko, B G, and Dubrovskij, V G}
abstractNote = {The 2+1-dimensional integrable generalization of the sine-Gordon equation symmetric in the spatial variables is studied by the inverse spectral transform method. The solutions with functional parameters, plane solitons (kinks) and plane breathers are constructed by the dressing method. The initial value problem for this equation with the constant boundaries is solved in both cases {sigma}{sup 2}={+-}1. 21 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}