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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Ukrainian Mathematic...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Ukrainian Mathematical Journal
Article . 1991 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1991
Data sources: zbMATH Open
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Conditional symmetry of the equations of nonlinear mathematical physics

Conditional symmetry of equations of nonlinear mathematical physics
Authors: Fushchich, V. I.;

Conditional symmetry of the equations of nonlinear mathematical physics

Abstract

The author deals with conditional symmetry of partial differential equations --- roughly speaking with the symmetry of certain subset of solutions. Such a symmetry can be used in generalization of invariance principle, reduction and linearization of equations and in the process of obtaining solutions, which cannot be obtained by some classical methods. Conditional symmetry and solutions are investigated for equations of heat transfer, accoustics, Schrödinger, Boussinesq, Korteweg-de Vries, Maxwell, d'Alembert and Dirac.

Keywords

linearization of equations, Maxwell, NLS equations (nonlinear Schrödinger equations), reduction, d'Alembert, invariance principle, Schrödinger, Invariance and symmetry properties for PDEs on manifolds, KdV equations (Korteweg-de Vries equations), Korteweg-de Vries, heat transfer, accoustics, Boussinesq, Dirac, solutions, PDEs in connection with quantum mechanics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
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