Nonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of the Nonlinear Schrodinger Equation

Yanping Cao, Ziad H. Musslimani, Edriss S. Titi

A regularized $\alpha -$system of the Nonlinear Schrödinger Equation (NLS) with $2\sigma$ nonlinear power in dimension $N$ is studied. We prove existence and uniqueness of local solution in t…