New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations
type: Item
instance of: scholarly article
title: New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations
zbMATH Open document ID: 1264.35080
DOI: 10.1155/2012/537930
author: A. H. Bhrawy
author: M. Sh. Alhuthali
author: M. A. Abdelkawy
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Using the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion method is its ease of use to determine shock or solitary type of solutions. In addition, as an illustrative sample, the properties for the extended F-expansion solutions of the Itô equations are shown with some figures.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35-04
zbMATH DE Number: 6173369
Wikidata QID: Q58912057
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/537930
OpenAlex ID: W1524536358
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description: scientific article; zbMATH DE number 6173369