,Ported from Self-Similar Analytic Solutions of Ginzburg-Landau Equation with Varying Coefficients

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Employing the technique of symmetry reduction of analytic method,we solve the Ginzburg-Landau equation with varying nonlinear,dispersion,gain coefficients,and gain dispersion which originates from the limiting effect of transition bandwidth in the realistic doped fibres.The parabolic asymptotic self-similar analytical solutions in gain medium of the normal GVD is found for the first time to our best knowledge.
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