## 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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123100

Mathematical Reviews number (MathSciNet)
MR1852461

Zentralblatt MATH identifier
1021.35102

#### Citation

Furioli, Giulia. On the existence of self-similar solutions of the nonlinear Schrödinger equation with power nonlinearity between 1 and 2. Differential Integral Equations 14 (2001), no. 10, 1259--1266. https://projecteuclid.org/euclid.die/1356123100