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Moving fronts for complex Ginzburg-Landau equation with Raman term Adrian Ankiewicz and Nail Akhmediev
 

Summary: Moving fronts for complex Ginzburg-Landau equation with Raman term
Adrian Ankiewicz and Nail Akhmediev
Optical Sciences Centre, The Australian National University, Canberra, Australian Capital Territory 0200, Australia
Received 6 January 1998
Moving fronts, or optical shock-type solitons, are discussed for systems with gain and loss under the
influence of the Raman effect. We present energy and momentum segment balance equations and establish the
exact moving front solutions. We also show here that stationary and moving fronts also exist when we allow
for various other nonlinear terms in the modified Ginzburg-Landau equation. S1063-651X 98 09611-1
PACS number s : 42.65.Tg
I. INTRODUCTION
The nonlinear Schro¨dinger equation NSE is a model
equation describing a variety of short-pulse propagation phe-
nomena in optics 1,2 . The NSE with nonconservative terms
added is usually called the complex Ginzburg-Landau equa-
tion CGLE . Particular areas of application of the CGLE are
all-optical fiber transmission lines and passively mode-
locked fiber and solid-state lasers. The NSE can be modified
to include the influence of various physical phenomena on
short-pulse generation and propagation. The behavior of
ultra-short pulses changes under the influence of these terms.

  

Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University

 

Collections: Physics; Engineering