Thresholds of Envelope Soliton Formation in a Weakly Dissipative Medium

Thresholds of envelope soliton formation from input rectangular pulses of amplitude b and duration T in a nonlinear dispersive medium with weak dissipation are calculated. The calculated threshold curve bₜₕ²0ex0ex=0ex0exf(1/T²) has n minima corresponding to the formation of 1,2,,n envelope solitons. The positions and magnitudes of these minima are determined by the dissipation parameter in the medium. The derived threshold formula provides a quantitative description of the threshold curve measured recently for spin wave envelope solitons in yttrium-iron-garnet films.