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Pregled bibliografske jedinice broj: 347668

Časopis

Autori: Fukuyama, T.; Kamimura, K.; Krešić-Jurić, Saša; Meljanac, Stjepan
Naslov: Gauge transformations and symmetries of integrable systems
( Gauge transformations and symmetries of integrable systems )
Izvornik: Journal of Physics A Mathematical & Theoretical (1751-8113) 40 (2007), 40; 12227-12241
Vrsta rada: članak
Ključne riječi: gauge transformations; infinitesimal symmetries; integrable systems
( gauge transformations; infinitesimal symmetries; integrable systems )
Sažetak:
We analyze several integrable systems in zero-curvature form within the framework of $SL(2, \R)$ invariant gauge theory. In the Drinfeld-Sokolov gauge we derive a two-parameter family of nonlinear evolution equations which as special cases include the Kortweg-de Vries (KdV) and Harry Dym equations. We find residual gauge transformations which lead to infinitesimal symmetries of this family of equations. For KdV and Harry Dym equations we find an infinite hierarchy of such symmetry transformations, and we investigate their relation with local conservation laws, constants of the motion and the bi-Hamiltonian structure of the equations. Applying successive gauge transformations of Miura type we obtain a sequence of gauge equivalent integrable systems, among them the modified KdV and Calogero KdV equations.
Projekt / tema: 177-0372794-2816, 098-0000000-2865
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Google Scholar: Gauge transformations and symmetries of integrable systems
Upisao u CROSBI: skresic@pmfst.hr (skresic@pmfst.hr), 9. Svi. 2008. u 15:52 sati



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