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Selected Works of Panos Kevrekidis
Article
Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D
Nonlinearity (2011)
  • Panos Kevrekidis, UMASS, Amherst
  • Andrea R. Nahmod
  • Chongchun Zeng
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Abstract
In this note we propose a new set of coordinates to study the hyperbolic or non-elliptic cubic nonlinear Schrodinger 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.
Disciplines
Publication Date
April 1, 2011
Publisher Statement

DOI: 10.1088/0951-7715/24/5/007

This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/0951-7715/24/5/007
Citation Information
Panos Kevrekidis, Andrea R. Nahmod and Chongchun Zeng. "Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D" Nonlinearity Vol. 24 Iss. 5 (2011)
Available at: http://works.bepress.com/panos_kevrekidis/236/