Special Session 53: Mathematical Theory on the Klein-Gordon Equation and Related Models

Instability of standing waves for cubic-quintic NLS with delta potential

Masahito Ohta
Tokyo University of Science
Japan
Co-Author(s):    
Abstract:
We consider a nonlinear Schr\{o}dinger equation with the cubic-quintic combination of repulsive and attractive nonlinearities, and an attractive delta potential in one space dimension. The stability and instability of standing wave solutions are studied.