Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity

Details Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity

1999-11-12

arxiv.org/abs/cond-mat/9911177v2

Phys. Rev. A 62, 063610 (2000)

Physics

Condensed Matter

11 pages, 7 figures -- revised version

Scientific paper

10.1103/PhysRevA.62.063610

All stationary solutions to the one-dimensional nonlinear Schroedinger equation under box and periodic boundary conditions are presented in analytic form. We consider the case of repulsive nonlinearity; in a companion paper we treat the attractive case. Our solutions take the form of stationary trains of dark or grey density-notch solitons. Real stationary states are in one-to-one correspondence with those of the linear Schr\"odinger equation. Complex stationary states are uniquely nonlinear, nodeless, and symmetry-breaking. Our solutions apply to many physical contexts, including the Bose-Einstein condensate and optical pulses in fibers.

Affiliated with

Also associated with

No associations

Rating

Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195979