09/09/2016, 15:40 — 16:20 — Amphitheatre Pa2, Mathematics Building
Mahendra Panthee, Universidade Estadual de Campinas

Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass

In this talk we discuss the well-posedness issues of the associated initial value problem, the existence of nontrivial solutions with prescribed $L^2$-norm, and the stability of associated solitary waves for two classes of coupled nonlinear dispersive equations. The first model describes the nonlinear interaction between two Schrödinger type short waves and a generalized Korteweg-de Vries type long wave and the second one describes the nonlinear interaction of two generalized Korteweg-de Vries type long waves with a common Schrödinger type short wave. The results here extend many of the previously obtained results for two-component coupled Schrödinger-Korteweg-de Vries systems.

This is a joint work with Adan J. Fernandes and Santosh Bhattarai.