Nonequivalent Similarity Reductions and Exact Solutions for Coupled Burgers-Type Equations

作     者：M.H.M.Moussa R.A.K.Omar Rehab M.El-Shiekh H.R.El-Melegy 

作者机构：Department of MathematicsFaculty of EducationAin Shams UniversityHeliopolisCairoEgypt 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2012年第57卷第1期

页      面：1-4页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the useful suggestions that led to the improvement and revision of this paper 

主　　题：symmetry method G/G-method coupled Burgers-type equations exact solutions 

摘      要：Using the machinery of Lie group analysis,the nonlinear system of coupled Burgers-type equations is *** the infinitesimal generators in the optimal system of subalgebra of the said Lie algebras,it leads to two nonequivalent similarity transformations by using it we obtain two reductions in the form of system of nonlinear ordinary differential *** search for solutions of these systems by using the G /G-method has yielded certain exact solutions expressed by rational functions,hyperbolic functions,and trigonometric *** figures are given to show the properties of the solutions.