We consider the N -coupled higher-order nonlinear Schrödinger ( N -CHNLS) equations which govern simultaneous propagation of N fields in a fibre with all higher-order effects such as higher-order dispersion, self-steepening and stimulated inelastic scattering. Painlevé analysis is used to identify the integrable form of N -CHNLS equations. We generalize the 2 × 2 Ablowitz-Kaup-Newell-Segur method to a (2 N +1) × (2 N +1) eigenvalue problem and construct the Lax pair. Using the inverse scattering transform, one-soliton solutions are derived explicitly.
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Sankar et al. (1999) studied this question.
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