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math.DS2013★ 14 cited
Short-wave transverse instabilities of line solitons of the 2-D hyperbolic nonlinear Schrödinger equation
D. E. Pelinovsky, E. A. Ruvinskaya, O. A. Kurkina +1
We prove that line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation are unstable with respect to transverse perturbations of arbitrarily small periods, {\e…
math.DS2005★ 15 cited
Discrete vector on-site vortices
P. G. Kevrekidis, D. E. Pelinovsky
We study discrete vortices in coupled discrete nonlinear Schrodinger equations. We focus on the vortex cross configuration that has been experimentally observed in photorefractive…