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arXiv · 1102.2374

Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D

P. G. Kevrekidis·A. R. Nahmod·C. 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.

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P. G. Kevrekidis, A. R. Nahmod, C. Zeng. 2011-02-11. Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D. https://doi.org/10.1088/0951-7715%2F24%2F5%2F007

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