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On the method of determining relations; O metode opredelyayushchikh sootnoshenij

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Abstract

On the basis of the method of determining relations it is shown that the multicomponent nonlinear Schroedinger equation with a source can be investigated by the inverse scattering method. However, the system of evolution equations for scattering data in the general case turns out to be nonlinear, which may result in the chaotic behaviour of solitons. Conditions are found under which the evolution of scattering data is described by a system of linear equations. 15 refs.
Authors:
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
JINR-R-2-91-416
Reference Number:
SCA: 661100; PA: AIX-24:008097; SN: 93000932838
Resource Relation:
Other Information: DN: Submitted to the 2-nd Conference on the Renormgroup Method, Dubna, 3-6 September, 1991.; PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHROEDINGER EQUATION; INVERSE SCATTERING PROBLEM; NONLINEAR PROBLEMS; INTEGRAL EQUATIONS; SOLITONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10119424
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
Russian
Other Identifying Numbers:
Other: ON: DE93612979; TRN: RU9206942008097
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[14] p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Mel`nikov, V K. On the method of determining relations; O metode opredelyayushchikh sootnoshenij. JINR: N. p., 1991. Web.
Mel`nikov, V K. On the method of determining relations; O metode opredelyayushchikh sootnoshenij. JINR.
Mel`nikov, V K. 1991. "On the method of determining relations; O metode opredelyayushchikh sootnoshenij." JINR.
@misc{etde_10119424,
title = {On the method of determining relations; O metode opredelyayushchikh sootnoshenij}
 author = {Mel`nikov, V K}
 abstractNote = {On the basis of the method of determining relations it is shown that the multicomponent nonlinear Schroedinger equation with a source can be investigated by the inverse scattering method. However, the system of evolution equations for scattering data in the general case turns out to be nonlinear, which may result in the chaotic behaviour of solitons. Conditions are found under which the evolution of scattering data is described by a system of linear equations. 15 refs.}
 place = {JINR}
 year = {1991}
 month = {Dec}
 }