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Burgers-Fisher方程的新精确解 被引量:1

The New Exact Solutions for Burgers-Fisher Equation
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摘要 利用改进的tanh函数方法将Burgers-Fisher方程化为一阶非线性常微分方程组。通过求解这个非线性常微分方程组,获得了Burgers-Fisher方程新的精确类孤子解和三角函数解。 In this paper, by using the extended tanh-function method, the general Burgers-Fisher equations are reduced to first-order nonlinear ordinary differential equations, and then the new exact solutions for these equations, which include exact soliton-like and triangle function solutions, are obtained through solving these ordinary differential equations.
作者 雷军
出处 《丽水师范专科学校学报》 2004年第2期13-14,共2页 Journal of Lishui Teachers College
关键词 BURGERS-FISHER方程 精确解 TANH函数法 类孤子解 三角函数 非线性常微分方程 improved tanh-function method soliton-like solutions triangle function so lutions
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  • 1李志斌,张善卿.非线性波方程准确孤立波解的符号计算[J].数学物理学报(A辑),1997,17(1):81-89. 被引量:114
  • 2Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering In: London Mathematical Society Lecture Note Series vol 149( Cambridge: Cambridge University Press).
  • 3Miura M R 1978 Backlund Transformation (Berlin: Springer-Verlag).
  • 4Hirota R 1971 Phys. Rev. Lett. 27 1192.
  • 5Malfliet W 1992 Am. J. Phys .60 659.
  • 6Lou S Y et al 1992 Acta Phys. Sin. 42 182(in Chinese).
  • 7Liu X Q 1998 Appl. Math. -J. Chinese University B 13 25.
  • 8Zhang J F et al 2001 Acta Phys. Sin. 50 1648(in Chinese).
  • 9Yan Z Y et al 1999 Acta Phys. Sin. 48 1957(in Chinese).
  • 10Chan W L and Zhang X 1994 J. Phys. A : Math. Gen . 27 407.

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  • 1ROMAN C.A Constrctive method for obtaining new exactsolutions of nonlinear evolution equations. Reports onMathematical Physics . 1996
  • 2ROMAN C.Exact andanumrical solutions of the general-ized fisher equation. Reports on Mathematical Phys-ics . 2001
  • 3Cherniha,R.New non-Lie ansatze and exact solutions of nonlinear reaction-diffusion-convection equations. Journal of Physics A Mathematical and General . 1998
  • 4Cherniha R.M.,John R King.Non-Linear reaction-diffusion systems with varible diffusivities:Lie symmetries,ans(a|¨)tze and exact solutions. Journal of Mathematical Analysis and Applications . 2005
  • 5Cherniha R.M.Non-Q-Conditional symmetries and solutions of some reaction-diffusion-convections equations arising in mathemetical biology. Journal of Mathematical Analysis and Applications . 2007
  • 6王明亮,白雪.广义Burgers-Fisher方程的精确解[J].兰州大学学报(自然科学版),1999,35(2):1-6. 被引量:8
  • 7何宝钢.Burgers-Fisher方程的精确解[J].怀化师专学报,2002,21(2):17-19. 被引量:2
  • 8郭冠平.广义Burgers-Fisher方程的精确孤立波解[J].浙江师范大学学报(自然科学版),2003,26(4):350-352. 被引量:5

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