A study on the d-dimensional Schrödinger equation with a power-law nonlinearity

A. Shidfar, A. Molabahrami, A. Babaei and A. Yazdanian

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2154-2158

Abstract: In this paper, the homotopy perturbation method (HPM) is applied to obtain series pattern solutions of the Cauchy problem for the d-dimensional Schrödinger equation with a power-law nonlinearity. We introduce the recurrent relation to solve the mentioned Cauchy problem. For some cases of given initial condition, we obtain the closed form of the exact solutions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2154-2158

DOI: 10.1016/j.chaos.2009.03.139

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