The Manakov System as Two Moving Interacting Curves
نویسندگان
چکیده
In recent years, there has been a large interest in the applications of the Frenet-Serret equations for a space curve in various contexts, and interesting connections between geometry and integrable nonlinear evolution equations have been revealed. The subject of how space curves evolve in time is of great interest and has been investigated by many authors. Hasimoto showed that the evolution of a thin vortex filament regarded as a moving space curve can be mapped to the nonlinear Schrödinger equation (NLSE):
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تاریخ انتشار 2007