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Physics Letters A 330 (2004) 224229 www.elsevier.com/locate/pla

Summary: Physics Letters A 330 (2004) 224­229
On the solution of multicomponent nonlinear
Schrödinger equations
Thambithurai Kanna 1
, Eduard N. Tsoy 2,
, Nail Akhmediev
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra, ACT 0200, Australia
Received 28 July 2004; accepted 5 August 2004
Communicated by V.M. Agranovich
Using algebraic approach we find new solutions of N-component nonlinear Schrödinger equations with mixed signs of
nonlinear coefficients. Explicit expressions are given for the cases N = 2 and N = 3. These solutions admit singularities for
certain fixed values of the spatial variable.
2004 Elsevier B.V. All rights reserved.
1. Introduction
The integrable classes of coupled nonlinear Schrö-
dinger (CNLS) equations intrigue researchers for the
past few decades due to their rich variety of solutions


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


Collections: Engineering; Physics