Published November 30, 2009
| Version v1
Journal article
A study on the d-dimensional Schroedinger equation with a power-law nonlinearity
- 1. Department of Mathematics, Iran University of Science and Technology, Tehran (Iran, Islamic Republic of)
- 2. Department of Mathematics, Ilam University, PO Box 69315516, Ilam (Iran, Islamic Republic of)
Description
In this paper, the homotopy perturbation method (HPM) is applied to obtain series pattern solutions of the Cauchy problem for the d-dimensional Schroedinger 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.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2009.03.139Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2009.03.139;
- PII
- S0960-0779(09)00302-6;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 42
- Journal Issue
- 4
- Journal Page Range
- p. 2154-2158
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41020639
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- CAUCHY PROBLEM; EXACT SOLUTIONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.