Triple Solitary Waves in Nonlinear Interaction of Wave Packets

Abstract

Initial value problems on triple solitary waves in resonant interaction of three wave packets are solved by numerical computation of the coupled wave equations. The triple solitary waves are found to be solitons in the sense that the waves preserve their initial identities upon collisions with the other waves. It is also shown that even in a weakly inhomogeneous plasma, the triple solitary waves are formed by nonlinear interaction of the packets, and they propagate without deformation of their envelopes.