Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Nonlinear Schrödinger-helmholtz Equation as Numerical Regularization of the Nonlinear Schrödinger Equation
A regularized α−system of the Nonlinear Schrödinger Equation (NLS) with 2σ nonlinear power in dimension N is studied. We prove existence and uniqueness of local solution in the case 1 ≤ σ < 4 N−2 and existence and uniqueness of global solution in the case 1 ≤ σ < 4 N . When α → 0, this regularized system will converge to the classical NLS in the appropriate range. In particular, the purpose of ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2008
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/21/5/001