= Fundamental temporal bright soliton
{title2=$A=\sqrt{P_s}\operatorname{sech}(T/T_0)e^{i\gamma P_s z/2},\quad\gamma P_sT_0^2=|\beta_2|$}
For positive Kerr nonlinearity and anomalous <group velocity dispersion>, the displayed sech envelope solves the ideal cubic fibre equation. Substitution uses $(\operatorname{sech}u)''=\operatorname{sech}u-2\operatorname{sech}^3u$. Dispersion and <nonlinear lengths> coincide. Higher-order corrections, attenuation and a delayed response can change actual propagation.
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