Advances in Differential Equations
- Adv. Differential Equations
- Volume 7, Number 8 (2002), 897-918.
Stability and instability of traveling solitonic bubbles
We study the nonlinear Schrödinger equation with general nonlinearity of competing type. This equation has traveling waves solution with non-vanishing condition at infinity in one dimension. We give a sharp condition for the stability and instability of these solutions. This justifies the previous prediction posed in physical literature.
Adv. Differential Equations Volume 7, Number 8 (2002), 897-918.
First available in Project Euclid: 27 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: 35B35: Stability
Lin, Zhiwu. Stability and instability of traveling solitonic bubbles. Adv. Differential Equations 7 (2002), no. 8, 897--918. https://projecteuclid.org/euclid.ade/1356651683