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Summary: Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear
Schrödinger equations
T. Kanna,1,
* M. Lakshmanan,2
P. Tchofo Dinda,1
and Nail Akhmediev3
1
Laboratoire de Physique de l'Université de Bourgogne, UMR CNRS No 5027, Av. A Savary, BP47 870, 21078 Dijon Cédex, France
2
Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli-620 024, India
3
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra,
ACT 0200, Australia
Received 7 July 2005; published 7 February 2006
A different kind of shape changing intensity redistribution collision with potential application to signal
amplification is identified in the integrable N-coupled nonlinear Schrödinger CNLS equations with mixed
signs of focusing- and defocusing-type nonlinearity coefficients. The corresponding soliton solutions for the
N=2 case are obtained by using Hirota's bilinearization method. The distinguishing feature of the mixed sign
CNLS equations is that the soliton solutions can both be singular and regular. Although the general soliton
solution admits singularities we present parametric conditions for which nonsingular soliton propagation can
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