Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation 被引量：1

Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation

下载PDF

导出

摘要 Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.

作者吴国成

机构地区 Key Laboratory of Numerical Simulation of Sichuan Province College of Mathematics and Information Science

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第6期1073-1076,共4页 理论物理通讯（英文版）

关键词 Lie group method fractional Burgers equation fractional characteristic method 分数非线性偏微分方程方程组 Burgers方程分类李群方法小数时间

分类号 O411 [理学—理论物理]

引文网络
相关文献

参考文献17

1P.J. Olver, Applications of Lie Groups to Differential Equations, second ed., GTM 107, Springer, Berlin (1993).
2G.W. Bluman and S.C. Anco, Appl. Math. Sci. 154 Springer, New York (2002).
3E. Buckwar and Y. Luchko, J. Math. Anal. Appl. 227 (1998) 81.
4R.K. Gazizov, A.A. Kasatkin, and S.Y. Lukashchuk, Phys. Scr. (2009) 014016.
5V.D. Djordjevic and T.M. Atanackovic, J. Comput. Appl. Math. 222 (2008) 701.
6G. Jmnarie, Int. d. Syst. Sc. 6 (1993) 1113.
7G. Jumarie, Appl. Math. Lett. 18 (2005) 739.
8G. Jumarie, Appl. Math. Lett. 18 (2005) 817.
9G.C. Wu, Commun. Frac. Calc. 1 (2010) 27.
10G. Juma~ie, Appl. Math. Lett. 19 (2006) 873.

同被引文献2

1YAN Zhen-Ya.New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion[J].Communications in Theoretical Physics,2001(10):385-390. 被引量：2
2Jihuan HE (Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 2 0 0 0 72 ,China).A New Approach to Nonlinear Partial Differential Equations[J].Communications in Nonlinear Science and Numerical Simulation,1997,2(4):230-235. 被引量：16

引证文献1

1顾佳磊,夏铁成.分数阶变分迭代法处理分数阶类Boussinesq方程(英文)[J].应用数学与计算数学学报,2011,25(1):46-52.

1耿世峰,陈国旺.GLOBAL EXISTENCE OF SOLUTIONS OF CAUCHY PROBLEM FOR GENERALIZED BBM-BURGERS EQUATION[J].Acta Mathematica Scientia,2013,33(4):1007-1023. 被引量：2
2Sayed A.El-Wakil,Essam M.Abulwafa,Emad K.El-Shewy,Abeer A.Mahmoud.Ion-acoustic waves in plasma of warm ions and isothermal electrons using time-fractional KdV equation[J].Chinese Physics B,2011,20(4):149-155.
3Roghaieh KHOSRAVI.On Rees Factor S-Posets Satisfying Condition (Pw)[J].Journal of Mathematical Research with Applications,2016,36(5):521-526.
4刘金存,侯国林.New approximate solution for time-fractional coupled KdV equations by generalised differential transform method[J].Chinese Physics B,2010,19(11):41-47. 被引量：1
5冯连莉,田守富,王秀彬,张田田.Lie Symmetry Analysis, Conservation Laws and Exact Power Series Solutions for Time-Fractional Fordy–Gibbons Equation[J].Communications in Theoretical Physics,2016,65(9):321-329. 被引量：2
6孟道骥,王立云.线性代数中的摄动法[J].高等数学研究,2008,11(1):23-26. 被引量：2
7LIU Cheng-Shi.Solution of ODE u″+p(u)(u′)2+q(u)=0 and Applications to Classifications of All Single Travelling Wave Solutions to Some Nonlinear Mathematical Physics Equations[J].Communications in Theoretical Physics,2008,49(2):291-296. 被引量：8
8熊剑飞,邹建成.CLASSIFICATIONS OF (2,1)-STABLE AND (1,2)-STABLE UNFOLDINGS OF MAP GERMS WITH CODIMENTION≤3[J].Acta Mathematica Scientia,2000,20(2):199-205.
9Shu-qin Zhang.Solution of Semi-Boundless Mixed Problem for Time-fractional Telegraph Equation[J].Acta Mathematicae Applicatae Sinica,2007,23(4):611-618.
10SHI Jun,ZHANG NaiTong,LIU XiaoPing.A novel fractional wavelet transform and its applications[J].Science China(Information Sciences),2012,55(6):1270-1279. 被引量：21

Communications in Theoretical Physics

2011年第6期

浏览历史

内容加载中请稍等...

Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation 被引量：1

参考文献17

同被引文献2

引证文献1

相关作者

相关机构

相关主题

浏览历史