Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation
Author
Date
1999-12-01Type
Article

View/ Open
Access rights
Open access 

Metadata
Show full item recordAbstract
In the present work, we improve a numerical method, developed to solve the Gross-Pitaevkii nonlinear Schrödinger equation. A particular scaling is used in the equation, which permits us to evaluate the wave-function normalization after the numerical solution. We have a two-point boundary value problem, where the second point is taken at infinity. The differential equation is solved using the shooting method and Runge-Kutta integration method, requiring that the asymptotic constants, for the function and its derivative, be equal for large distances. In order to obtain fast convergence, the secant method is used. © 1999 The American Physical Society.
How to cite this document
Gammal, A.; Frederico, T.; Tomio, Lauro. Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2421-2424, 1999. Available at: <http://hdl.handle.net/11449/65946>.
Language
English
Collections
