Lie groups analysis and contact transformations for Itô system
type: Item
instance of: scholarly article
title: Lie groups analysis and contact transformations for Itô system
zbMATH Open document ID: 1259.35070
DOI: 10.1155/2012/342680
author: Yanyan Li
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: Generalized Itô 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 Itô system.
Mathematics Subject Classification ID: 35G50
Mathematics Subject Classification ID: 35B06
zbMATH DE Number: 6134064
zbMATH Keywords: exact invariant solutions
zbMATH Keywords: Lie point transformation
Wikidata QID: Q58696364
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/342680
OpenAlex ID: W2163866479
cites work: Two Integrable Coupled Nonlinear Systems
cites work: Integrability of a generalized Ito system: the Painlevé test.
cites work: An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher orders
cites work: Symmetries and differential equations
cites work: The existence of contact transformations for evolution-type equations
cites work: Lie symmetry analysis and Painlevé analysis of the new \((2+1)\)-dimensional KdV equation
cites work: Exact solutions of the mKdV equation with time-dependent coefficients
cites work: Similarity methods for differential equations
cites work: Painlevé analysis of generalized Zakharov equations
cites work: Symmetry analysis of an integrable Itô coupled system
cites work: Exact solutions for the generalized KdV equation by using Bäcklund transformations
cites work: Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation
description: scientific article; zbMATH DE number 6134064