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Nonlinear dispersion relations
Ludu, A.; Kevrekidis, P.G. - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 2, pp. 229-236
We examine how nonlinear dispersion relations (NLDR) can be used as a simple, universal algebraic tool to provide information for the localized, nonlinear solutions of PDE that model physical systems. Such scaling relations between width, amplitude and velocity are of great help for numerical...
Persistent link: https://www.econbiz.de/10010749768
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Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose–Einstein condensates
Carretero-González, R.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 74 (2007) 4, pp. 361-369
We numerically study the nucleation of gray solitons and vortex–antivortex pairs created by a moving impurity in … linear regimes corresponding to small and large velocities. Effectively, the emission of gray solitons and vortex … small density. At longer times, the first nucleation is followed by generation of an array of solitons in 1D (“soliton train …
Persistent link: https://www.econbiz.de/10011050487