Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Computational Methods in Science and Technology

1 2010

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Generalized Nonlinear Schrödinger Equation

Sortuj według:

Ogranicz wyniki do:

Propagation of Ultrashort Pulses in a Nonlinear Medium

Long Van C., Dinh Thuan B., Goldstein P., Viet Hung N., Hoai Son D.

Computational Methods in Science and Technology

2010

Vol. spec. iss. (2)

xx-xx

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.