Radiative effects to the adiabatic dynamics of envelope-wave solitons

✍ Scribed by Dmitry Pelinovsky

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 819 KB
• Volume: 119
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(98)00037-2

✦ Synopsis

A general asymptotic method for analysis of radiative effects to the adiabatic dynamics of envelope-wave solitons is presented in the form of a modified soliton perturbation technique involving three asymptotic scales. This method is applied to a generalized NLS equation for description of both the instability-induced soliton dynamics near the instability threshold and exponentially weak radiative effects. The results are obtained for two particular problems: (i) a new (revised) derivation of a double-logarithmic scaling law of singularity formation at the critical soliton collapse and (ii) calculation of an inverse squared logarithmic decay rate of an amplitude of internal low-frequency oscillations excited at the background of a stable soliton near the instability threshold.