Complete integrability of N-coupled higher-order nonlinear Schrödinger equations in nonlinear optics

Porsezian, K. ; Shanmugha Sundaram, P. ; Mahalingam, A. (1999) Complete integrability of N-coupled higher-order nonlinear Schrödinger equations in nonlinear optics Journal of Physics A: Mathematical and General, 32 (49). pp. 8731-8738. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/32/49/313

Related URL: http://dx.doi.org/10.1088/0305-4470/32/49/313

Abstract

The coupled higher-order nonlinear Schrödinger equations are generalized to an N-coupled system which governs the propagation of N fields in a fibre with all the higher-order effects like third-order dispersion, Kerr dispersion and stimulated Raman scattering. The explicit Lax pair is constructed and the soliton solutions are obtained using the Darboux-Bäcklund transformation. Finally, the Hirota bilinear form for the N-coupled system equations is also presented.

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Deposited On:23 Feb 2012 12:31
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