## Differential and Integral Equations

### On the existence of self-similar solutions of the nonlinear Schrödinger equation with power nonlinearity between 1 and 2

Giulia Furioli

#### Abstract

We improve on a previous result by Ribaud and Youssfi on existence of self-similar solutions for the nonlinear Schrödinger equation, extending the range of available nonlinearities $\alpha +1$ to $\alpha$ smaller than 1. We exploit the different behavior of the linear and nonlinear terms.

#### Article information

Source
Differential Integral Equations, Volume 14, Number 10 (2001), 1259-1266.

Dates
First available in Project Euclid: 21 December 2012