29 citations · 75 across the 5 of their papers we have counts for
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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…
math-ph2009★ 29 cited
A High-Order Numerical Method for the Nonlinear Helmholtz Equation in Multidimensional Layered Media
Guy Baruch, Gadi Fibich, Semyon V. Tsynkov
We present a novel computational methodology for solving the scalar nonlinear Helmholtz equation (NLH) that governs the propagation of laser light in Kerr dielectrics. The methodol…