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Lie Groups Analysis and Contact Transformations for Ito System
Journal article   Open access  Peer reviewed

Lie Groups Analysis and Contact Transformations for Ito System

M. M. Al-Shomrani
Abstract and applied analysis, Vol.2012, pp.1-12
01/01/2012

Abstract

Generalized Ito systems of four coupled nonlinear evaluation equations are proposed. New classes of exact invariant solutions by using Lie group analysis are obtained. Moreover, we investigate the existence of a one-parameter group of contact transformations for a generalized Ito system. Consequently, we study the relationship between one-parameter group of a contact transformation and a one-parameter Lie point transformation for a generalized Ito system.
url
https://doi.org/10.1155/2012/342680View
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