Lie Groups Analysis and Contact Transformations for Ito System

M. M. Al-Shomrani

Abstract and Applied Analysis, 2012, vol. 2012, 1-12

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:342680

DOI: 10.1155/2012/342680

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