Published May 2011
| Version v1
Journal article
Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D
- 1. Department of Mathematics University of Massachusetts 710 N. Pleasant Street Amherst MA 01003 (United States)
- 2. School of Mathematics Georgia Institute of Technology Atlanta, GA 30332 (United States)
Description
In this note we propose a new set of coordinates to study the hyperbolic or nonelliptic cubic nonlinear Schrödinger equation in two dimensions. Based on these coordinates, we study the existence of bounded and continuous hyperbolically radial standing waves, as well as hyperbolically radial self-similar solutions. Many of the arguments can easily be adapted to more general nonlinearities
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/24/5/007Additional details
Identifiers
- DOI
- 10.1088/0951-7715/24/5/007;
- PII
- S0951-7715(11)59382-X;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 24
- Journal Issue
- 5
- Journal Page Range
- p. 1523-1538
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45037890
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COORDINATES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; STANDING WAVES; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS