The First Integral Method to Study a Class of Reaction-Diffusion Equations 被引量：1

The First Integral Method to Study a Class of Reaction-Diffusion Equations

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摘要 In this letter, a class of reaction-diffusion equations, which arise in chemical reaction or ecology and other fields of physics, are investigated. A more general analytical solution of the equation is obtained by using the first integral method.

作者 KEYun-Quant YUJun

机构地区 InstituteofNonlinearScience InstituteofNonlinearScience

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4期597-600,共4页 理论物理通讯（英文版）

基金浙江省自然科学基金，浙江省新世纪151人才工程项目

关键词 exact solution reaction-diffusion equation first integral 精确解反应扩散方程首次积分力学非线性偏微分方程

分类号 O31 [理学—一般力学与力学基础] O175.29

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参考文献9

1P.G. Drazin and R.S. Johnson, Solitons: an Introductton,Cambridge University Press, Cambridge (1989).
2M.J. Ablowitz and P.A. Clarkson, Solitons: Non-linear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge (1991).
3M.R. Miura, Backlund Transformation, Springer, Berlin(1978).
4J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24(1983) 522
5P.A. Clarkson and M.D. Kruskal, J. Math. Phys. 30(1989) 2201.
6Z.S. Feng, J. Phys. A: Math. Gen. 35 (2002) 343.
7Z.S. Feng and X.H. Wang, Phys. Lett. A308 (2003) 173.
8Z.S. Feng, Phys. Lett. A293 (2002) 57.
9R. Hirota, Phys. Rev. Lett. 27 (1971) 1192.

引证文献1

1Yuhuai Sun,Hanlei Hu,Jian Zhang.New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method[J].Open Journal of Applied Sciences,2014,4(5):249-257. 被引量：1

二级引证文献1

1何彩霞.应用 (Φ/Ψ) 展开法求广义Zakharov方程组的精确解[J].青海师范大学学报（自然科学版）,2021,37(2):24-29.

1Xu LongfengDept. of Math. and Phys., Anhui Univ. of Technology, Maanshan 243002.A CLASS OF REACTION-DIFFUSION EQUATIONS WITH HYSTERESIS DIFFERENTIAL OPERATOR[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(1):48-56.
2潘仲雄,王翼飞.NUMERICAL METHOD FOR THE SYSTEM OF REACTION-DIFFUSION EQUATIONS WITH A SMALL PARAMETER[J].Applied Mathematics and Mechanics(English Edition),1991,12(8):813-819.
3Filiz Tascan,Ahmet Bekir.Applications of the first integral method to nonlinear evolution equations[J].Chinese Physics B,2010,19(8):24-27.
4CHEN,Song-lin(陈松林).THE EXTINCTION BEHAVIOR OF THE SOLUTIONS FOR A CLASS OF REACTION-DIFFUSION EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2001,22(11):1352-1356.
5Jian-lan Hu,Han-lin Zhang.Traveling Wave Solution for Two Kinds of Reaction-Diffusion Equations[J].Advances in Manufacturing,2000(2):108-111.
6Christos Xenophontos,Lisa Oberbroeckling.ON THE FINITE ELEMENT APPROXIMATION OF SYSTEMS OF REACTION-DIFFUSION EQUATIONS BY p/hp METHODS[J].Journal of Computational Mathematics,2010,28(3):386-400. 被引量：4
7LIU Bing-chen HONG Zhen-zhen.Quenching Estimates for Reaction-diffusion Equations with Nonstandard Growth Conditions[J].Chinese Quarterly Journal of Mathematics,2013,28(3):408-416.
8Zhi Ting XU,Pei Xuan WENG.Traveling Waves for Nonlocal and Non-monotone Delayed Reaction-difusion Equations[J].Acta Mathematica Sinica,English Series,2013,29(11):2159-2180.
9程学浦,黄博文,顾之雨,钱尚武.Generalized Aharonov-Bohm plus oscillator system[J].Science China Mathematics,1995,38(12):1457-1463.
10刘亚成,徐润章,于涛.Wave equations and reaction-diffusion equations with several nonlinear source terms[J].Applied Mathematics and Mechanics(English Edition),2007,28(9):1209-1218.

Communications in Theoretical Physics

2005年第4期

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The First Integral Method to Study a Class of Reaction-Diffusion Equations 被引量：1

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