On Perturbative Cubic Nonlinear Schrodinger Equations under Complex Nonhomogeneities and Complex Initial Conditions. (29th September 2009)

• Record Type: Journal Article
• Authors: El-Tawil, Magdy A.; El-Hazmy, Maha A.
• Other Names: Grimshaw Roger Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2009(2009)
• Publication Date: 2009-09-29
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2009/395894
• Languages: English
• ISSNs: 1687-4099

Abstract

Abstract : A perturbing nonlinear Schrodinger equation is studied under general complex nonhomogeneities and complex initial conditions for zero boundary conditions. The perturbation method together with the eigenfunction expansion and variational parameters methods are used to introduce an approximate solution for the perturbative nonlinear case for which a power series solution is proved to exist. Using Mathematica, the symbolic solution algorithm is tested through computing the possible approximations under truncation procedures. The method of solution is illustrated through case studies and figures.