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20072014
most citedA High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media

29 citations · 75 across the 5 of their papers we have counts for

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Showing 2009 · math.APShow all

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math.AP2009

Singular solutions of the biharmonic Nonlinear Schrodinger equation

G. Baruch, G. Fibich, E. Mandelbaum

We consider singular solutions of the biharmonic NLS. In the L^2-critical case, the blowup rate is bounded by a quartic-root power law, the solution approaches a self-similar profi…

math.AP2009★ 19 cited

Singular standing-ring solutions of nonlinear partial differential equations

Guy Baruch, Gadi Fibich, Nir Gavish

We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profil…