Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D
نویسندگان
چکیده
In this note we propose a new set of coordinates to study the hyperbolic or non-elliptic 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.
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تاریخ انتشار 2017