Artigo
Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation
Fecha
1999-12-01Registro en:
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2421-2424, 1999.
1063-651X
10.1103/PhysRevE.60.2421
WOS:000082235100098
2-s2.0-0001245204
2-s2.0-0001245204.pdf
8621258845956348
Autor
Universidade Estadual Paulista (Unesp)
Centro Técnico Aeroespacial
Resumen
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.