Место издания:World Sci. Publishing, River River Edge, NJ
Первая страница:139
Последняя страница:145
Аннотация:It is shown, that any sufficiently smooth periodic solution of the self-focusing Nonlinear Schr ̈odinger equation can be approximated by finite-gap ones with an arbitrary small error. As a corollary an analogous result for the motion of closed curves in R^3 guided by the Filament equation is proved. This equation describes the dynamics of very thin filament vortices in a fluid