Propagation of Ultrashort Pulses in Nonlinear Media

Cao Long Van
Author affiliations

Authors

  • Cao Long Van Institute of Physics, University of Zielona Góra, ul. Prof. Szafrana 4a, 65-516 Zielona Góra, Poland

DOI:

https://doi.org/10.15625/0868-3166/26/4/9184

Keywords:

ultrashort pulses, Kerr media, generalized nonlinear Schroedinger equation, solitons

Abstract

In this paper, a general propagation equation of ultrashort pulses in an arbitrary dispersive nonlinear medium derived in [9] has been used  for the case of Kerr media. This equation which is called Generalized Nonlinear Schroedinger Equation usually has very complicated form and looking for its solutions is usually a very difficult task. Theoretical methods reviewed in this paper to solve this equation are effective only for some special cases. As an example we describe the method of developed elliptic Jacobi function expansion and its expended form: F-expansion Method. Several numerical methods of finding approximate solutions are briefly discussed. We concentrate mainly on the 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, namely the collapse of solitons, where the variational formalism has been used.

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Published

10-03-2017

How to Cite

[1]
C. L. Van, “Propagation of Ultrashort Pulses in Nonlinear Media”, Comm. Phys., vol. 26, no. 4, p. 301, Mar. 2017.

Issue

Section

Invited Papers
Received 25-01-2017
Published 10-03-2017