A1 - Long Van Cao
A2 - Dinh Thuan Bui, Goldstein Piotr, Viet Hung Nguyen, Hoai Son Doan
PB - OWN
N2 - In this paper, using a general propagation equation of ultrashort pulses in an arbitrary dispersive nonlinear medium derived in [8] we study in the specific case of Kerr media. An obtained ultrashort pulse propagation equation which is called Generalized Nonlinear Schrödinger Equation usually has a very complicated form and looking for its solutions is usually a “mission impossible”. Theoretical methods to solve this equation are effective only for some special cases. As an example we describe the method of a developed elliptic Jacobi function expansion. Several numerical methods of finding approximate solutions are simultaneously used. We focus mainly on the following methods: Split-Step, Runge-Kutta and Imaginary-time algorithms. Some numerical experiments are implemented for soliton propagation and interacting high order solitons. We consider also an interesting phenomenon: the collapse of solitons.
L1 - http://lib.psnc.pl/Content/706/10.12921_cmst.2010.SI.02.77-96_Van.pdf
L2 - http://lib.psnc.pl/Content/706
CY - Poznań
ER -
UR - http://lib.psnc.pl/dlibra/docmetadata?id=706