Radial standing and self-similar waves for the hyperbolic cubic NLS in 2DNonlinearity (2011)
AbstractIn 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.
Publication DateApril 1, 2011
Citation InformationPanos 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/