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Pregled bibliografske jedinice broj: 347525

Časopis

Autori: Saša Krešić-Jurić
Naslov: On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schroedinger equation
( On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schroedinger equation )
Izvornik: Journal of Mathematical Physics (0022-2488) 47 (2006), 6; 063501-1-063501-12
Vrsta rada: članak
Ključne riječi: Birkhoff factorization; Heisenberg magnet; Segal-Wilson Grassmannian
( Birkhoff factorization; Heisenberg magnet; Segal-Wilson Grassmannian )
Sažetak:
A geometrical description of the Heisenberg magnet (HM) equation with classical spins is given in terms of flows on the quotient space $G/H_+$ where $G$ is an infinite dimensional Lie group and $H_+$ is a subgroup of $G$. It is shown that the HM flows are induced by an action of $\R^2$ on $G/H_+$, and that the HM equation can be integrated by solving a Birkhoff factorization problem for $G$. For the HM flows which are Laurent polynomials in the spectral variable we derive an algebraic transformation between solutions of the nonlinear Schr\"{; ; ; o}; ; ; dinger (NLS) and Heisenberg magnet equation. The Birkhoff factorization problem for $G$ is treated in terms of the geoemetry of the Segal-Wilson Grassmannian $Gr(H)$. The solution of the problem is given in terms of a pair of Baker functions for special subspaces in $Gr(H)$. The Baker functions are constructed explicitly for subspaces which yield multisoliton solutions of NLS and HM equations.
Projekt / tema: 177-0372794-2816
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: On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schroedinger equation
Upisao u CROSBI: skresic@pmfst.hr (skresic@pmfst.hr), 9. Svi. 2008. u 15:17 sati



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