ScholarLens Back to search
2012•Abstract and Applied AnalysisOpen access

Lie Groups Analysis and Contact Transformations for Ito System

M. M. Al-Shomrani

Open full text 0 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Mathematics, Lie group, Transformation group, Invariant (physics), Transformation (genetics), Nonlinear system, Point (geometry), Lie theory

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Lie Groups Analysis and Contact Transformations for Ito System — Research Paper | ScholarLens