Optical solitons in N-coupled higher order nonlinear Schrodinger equations

Nakkeeran, K. ; Porsezian, K. ; Shanmugha Sundaram, P. ; Mahalingam, A. (1998) Optical solitons in N-coupled higher order nonlinear Schrodinger equations Physical Review Letters, 80 (7). pp. 1425-1428. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v80/i7/p1425_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.80.1425

Abstract

We consider the coupled higher order nonlinear Schrodinger (CHNLS) equations which govern the propagation of the fields in a birefringent fiber with all higher order effects like the third order dispersion, Kerr dispersion, and stimulated Raman scattering. We generalize the 2×2 Ablowitz-Kaup-Newell-Segur method to the 5×5 eigenvalue problem and construct the Lax pair. The exact soliton solutions are explicitly obtained using the Darboux-Bäcklund transformation. A similar case of study is extended to three coupled HNLS equations and hence generalized to N-coupled equations.

Item Type:Article
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ID Code:83913
Deposited On:23 Feb 2012 12:30
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