Speaker
Kouichi Toda
(Toyama Pref. Univ.)
Description
We study a resonant system that describes the interaction between long and short waves.
The system is related to a Sasa–Satsuma-type equation and is obtained by a dimensional reduction of a higher-dimensional model;
we also show how it arises within a weakly nonlinear description of wave propagation.
Our main focus is on the soliton solutions and their characteristic behavior. Besides ordinary travelling-wave profiles, we find solutions whose envelopes oscillate as they propagate.
We further examine the two-soliton interaction and the change in the internal states of the solitons after collision.
These results illustrate the rich nonlinear dynamics generated by long and short waves resonance.