A study on linear and nonlinear Schrödinger equations by the variational iteration method. (English) Zbl 1148.35353

Wazwaz, Abdul-Majid

Chaos Solitons Fractals 37, No. 4, 1136-1142 (2008).

Summary: We introduce a framework to obtain exact solutions to linear and nonlinear Schrödinger equations. The He’s variational iteration method (VIM) is used for analytic treatment of these equations. Numerical examples are tested to show the pertinent features of this method.

MSC:

35Q55	NLS equations (nonlinear Schrödinger equations)
35A15	Variational methods applied to PDEs

Keywords:

Schrödinger equations; variational iteration method

References:

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