Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations

Details Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations

1992-10-15

arxiv.org/abs/hep-th/9210083v1

J.Math.Phys. 33 (1992) 3694-3699

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1063/1.529864

The Adler-Kostant-Symes theorem yields isospectral hamiltonian flows on the dual $\tilde\grg^{+*}$ of a Lie subalgebra $\tilde\grg^+$ of a loop algebra $\tilde\grg$. A general approach relating the method of integration of Krichever, Novikov and Dubrovin to such flows is used to obtain finite-gap solutions of matrix Nonlinear Schr\"odinger Equations in terms of quotients of $\tet$-functions.

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