Browsing Τμήμα Φυσικής / Department of Physics by Subject "Boundary value problems"
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Article
Piecewise analytic approximation for Bose-Einstein condensates in isotropic harmonic traps
(2004)Analytic simulacra of the wave functions in the regions around the origin and far from the origin were constructed to emulate the ground state and the single-vortex state of a Bose-Einstein condensate in an isotropic ...
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Article
Piecewise linear emulation of propagating fronts as a method for determining their speeds
(2003)The selected speed of pushed fronts was found through analytic calculations. The resulting analytic solution constitutes an excellent approximation to the exact propagating front, yielding also the correct value for the ...
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Article
Piecewise linear emulator of the nonlinear Schrödinger equation and the resulting analytic solutions for Bose-Einstein condensates
(2003)A most general method for finding very good analytic approximate solutions to the cubic nonlinear Schrodinger equation is presented. This method applies whenever the nonlinearity in that equation is a purely cubic one. It ...