Differential and Integral Equations
- Differential Integral Equations
- Volume 14, Number 10 (2001), 1259-1266.
On the existence of self-similar solutions of the nonlinear Schrödinger equation with power nonlinearity between 1 and 2
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.
Differential Integral Equations, Volume 14, Number 10 (2001), 1259-1266.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35A05 35K55: Nonlinear parabolic equations
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