6 August 1998 N-soliton solutions in the higher-order nonlinear Schroedinger equation
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We investigated the possible solutions of the higher order nonlinear Schrödinger (HNLS) equation describing femtosecond optical pulses in an optical fiber system. By using the Hirota direct method, we derived a fundamental solitary wave solution for arbitrary parameters and a N-soliton solution under some conditions. The significance of the soliton solution was discussed.
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Zhonghao Li, Guosheng Zhou, Dachun Su, "N-soliton solutions in the higher-order nonlinear Schroedinger equation", Proc. SPIE 3552, Fiber Optic Components and Optical Communication II, (6 August 1998); doi: 10.1117/12.318024; https://doi.org/10.1117/12.318024

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