Generalized solutions to the cubic Schrödinger equation

DOI10.1016/0362-546X(95)00124-EzbMath0861.35105MaRDI QIDQ4894162

Charles Bu

Publication date: 4 May 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationgeneralized functions (in the sense of Colombeau)

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Distributions, generalized functions, distribution spaces (46F99)

Related Items (8)

Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes ⋮ The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data ⋮ Singular solution of the Hartree equation with a delta potential ⋮ Stability analysis and investigation of a magnetoelastic beam subjected to axial compressive load and transverse magnetic field ⋮ Limits of regularizations for generalized function solutions to the Schrödinger equation with `square root of delta' initial value ⋮ An initial-boundary-value problem of 2D nonlinear Schrödinger equation in a strip ⋮ Generalized solution to multidimensional cubic Schrödinger equation with delta potential ⋮ Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation

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