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Article overview
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Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation | | J. Harnad
; M.-A. Wisse
; | | Date: |
14 Oct 1992 | | Journal: | J.Math.Phys. 34 (1993) 3518-3526 | | Subject: | hep-th | | Abstract: | The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual space $grg^*$ of a loop algebra $grg$, is parametrized by a finite dimensional symplectic vector space $W$ embedded into $grg^*$ by a moment map. Real quasiperiodic solutions are computed in terms of theta functions using a Liouville generating function which generates a canonical transformation to linear coordinates on the Jacobi variety of a suitable hyperelliptic curve. | | Source: | arXiv, hep-th/9210077 | | Services: | Forum | Review | PDF | Favorites | |
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