Simulations of the Nonlinear Helmholtz equation:Arrest of Beam Collapse, Nonparaxial Solitons and Co

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  The scalar nonlinear Helmholtz equation (NLH) models the propagation of intense laser beams in Kerrmedia such as water, silica and air.This semilinear elliptic equation requires boundary-conditions, which makes it hard to solve.Indeed, it remains unsolved in many configurations.
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