Exact dark soliton solutions for a family of N coupled nonlinear Schrödinger equations in optical fiber media.
We consider a family of N coupled nonlinear Schrödinger equations which govern the simultaneous propagation of N fields in the normal dispersion regime of an optical fiber with various important physical effects. The linear eigenvalue problem associated with the integrable form of all the equations is constructed with the help of the Ablowitz-Kaup-Newell-Segur method. Using the Hirota bilinear method, exact dark soliton solutions are explicitly derived.
Nakkeeran
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Laboratoire de Physique de l'Université de Bourgogne, UMR CNRS No. 5027, Avenue A Savary, Boîte Postle 47 870, 21078 Dijon Cédex, France. naks@jupiter.u-bourgogne.fr