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Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation

Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation

A regularized α-system of the nonlinear Schrödinger (NLS) equation with 2σ nonlinear power in dimension N is studied. We prove short time existence and uniqueness of solution in the case . And in the case 1 ⩽ σ < 3 (when N = 1) or in the case (when N …