Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,
Heriot-Watt University, Edinburgh, July 95

Non-local Nonlinear Schrödinger Equation

K.Ø. Rasmussen ¹, Yu.B. Gaididei, P.L. Christiansen and S.F. Mingaleev

¹Institute of Mathematical Modelling,
Technical University of Denmark,
2800 Lyngby, Denmark


A nonlocal Schrödinger equation applicable for molecular systems with long-range interactions and for media with saturating dispersion curves is proposed. Two types of stationary solutions are found. One of them becomes a crest soliton at the maximum of the spectral parameter. The dynamics of the standing solitons is investigated and collapse-like behavior is observed.

Conference paper.


Last modified Mon Apr 8 16:25:01 GB-Eire 1996 (DBD)