Using the inverse-scattering transform with 3×3 U-V matrix representation and fully exploiting the symmetry properties of the scattering matrix elements, we found the one-parameter single-soliton, the four-parameter breather soliton, and the general N-soliton solutions of a perturbed nonlinear Schrödinger equation which describes the femtosecond pulse propagation in optical fibers. The threshold power below which the one-parameter single soliton cannot be formed was given. The main characteristic of the general single-soliton solution of the perturbed nonlinear Schrödinger equation is that it presents an arbitrary number of ‘‘humps’’ (local maxima of the amplitude) of different heights.Peer ReviewedPostprint (published version
We give a direct method for obtaining exact solutions of the modified nonlinear Schrodinger equation iu, +u», "+2p~u~u+2iq (~u~'u) =0 describing the propagation of light pulses in optical fibers. By using a suggestive particlelike description, we classify all the obtained analytical solutions into one of the following categories: the "algebraic" soliton, the one-soliton solution, the bright solitary waves, and the regular periodic solutions which are very important from the physical point of view.PACS number(s): 42.65.Vh, 42.50.Rh, 03.65.Ge
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