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- W2114470359 abstract "The NLS is a universal equation of the class of nonlinear integrable systems. The aim of this thesis is to study the NLS numerically. More speci cally, an algorithm is developed to calculate its nonlinear spectrum. The nonlinear spectrum is then used as a diagnostic for numerical studies of the NLS. The spectrum consists of a discrete part, further subdivided into the main part, the auxiliary part, and the continuous spectrum. Two algorithms are developed for calculating the main spectrum. One is based on Floquet theory, rst implemented by Overman [12]. The other is a direct calculation of the eigenvalues by Herbst and Weideman [16]. These algorithms are combined through the marching squares algorithm to calculate the continuous spectrum. All ideas are illustrated by numerical examples." @default.
- W2114470359 created "2016-06-24" @default.
- W2114470359 creator A5003590324 @default.
- W2114470359 date "2008-12-01" @default.
- W2114470359 modified "2023-09-24" @default.
- W2114470359 title "A numerical study of the spectrum of the nonlinear Schrodinger equation" @default.
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