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(g'/g^2)展开法及其在KPP方程中的应用 被引量：2

The(g'/g^2)-Expansion Method and Its Application to KPP Equation
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摘要 应用(g'/g^2)展开法求出KPP方程的精确解.在不同的情形下,得出双曲函数通解、三角函数通解及有理函数通解.利用(g'/g^2)展开法求解KPP方程,相比(G'/G)展开等方法,更易于计算,是求解非线性发展方程的较好选择. In this paper,the （g＇/g^2）-expansion method is used to get exact solutions for KPP equation. Under the different cases, the solutions are the hyperbolic function solutions, trigonometric function solutions, and rational solutions. Concluded from the solving of KPP equations,the （g＇/g^2）- expansion method is a good choice of solving no- linear equations with easier calculating than （G＇/G）-expansion method and other methods mentioned before.
作者 孙鹏 崔泽建
机构地区 西华师范大学数学与信息学院
出处 《西华师范大学学报（自然科学版）》 2015年第4期336-338,381,共4页 Journal of China West Normal University(Natural Sciences)
基金 四川省教育厅自然科学重点项目(09ZA119)
关键词 (g'/g^2)展开法 非线性发展方程 KPP方程 精确解 （g,/g^2） -expansion method nonlinear evolution equations KPP equation exact solutions
分类号 O175.26 [理学—基础数学]
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参考文献10

  • 1FAN E G. Extended tanh-function method and its applications to nonlinear equations[J]. Phys Lett A,2000, 277(4 -5) : 212-218.
  • 2ZHOU Y B,WANG M L,WANG Y L. Periodic wave solutions to a coupled KdV equations with variable coefficients [J]. PhysLett A,2003,308(l) : 31 -36.
  • 3WANG M L. Solitary wave solutions for variant Boussinesq equations [J]. Phys Lett A, 1995 ,199(3) : 169 - 172.
  • 4HE J H, ABDOU M A. New periodic solutions for nonlinear evolution equations using Exp-function method [J]. Chaos,Solitonsand Fractals,2007 ,34(5) : 1421 -1429.
  • 5LIU S K,FU Z T,LIU S D,et al. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equa-tions[J]. Phys Lett A,2001,289( SI - 2) : 69 -74.
  • 6HIROTA R. Exact solution of the Korteweg-de vries equation for multiple collisions of solitons[J]. Phys Rev Lett, 1971,27(18) : 1192 - 1194.
  • 7WANG M L,LIA X Z,ZHANG J L. The ( G'/G) -expansion method and travelling wave solutions of nonlinear evolution equa-tions in mathematical physics [J]. Phys Lett A,2008 ,372(4) : 417 -423.
  • 8LI W A,CHEN H,ZHANG G G. The ( w/g) -expansion method and its application to Vakhnenko equation[J]. Chinese PhysB,2009,18( 2) : 400 -404.
  • 9黄怡,崔泽建.(G'/G)展开法和KPP方程的新精确解[J].西华师范大学学报（自然科学版）,2013,34(2):199-202. 被引量：2
  • 10陈继培,陈浩.(g′/g^2)展开法及其在耦合非线性Klein-Gordon方程中的应用[J].华南师范大学学报（自然科学版）,2012,44(2):63-66. 被引量：8

二级参考文献17

  • 1WANG M L. Solitary wave solutions for variant Bouss- inesq equations [ J ]. Phys Lett A, 1995,199 : 169 - 172.
  • 2HIROTA R. Exact solution of the Korteweg- de vries e- quation for multiple collisions of solitons [ J ]. Phys Rev Lett, 1971,27 : 1192 - 1194.
  • 3FAN E G. Extended tanh - function method and its appli- cations to nonlinear equations [ J ]. Phys Lett A, 2000, 277:212 - 218.
  • 4LIU S K, FU Z T, LIU S D, et al. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [ J]. Phys Lett A, 2001,289:69 - 74.
  • 5HE J H', ABDOU M A. "New peri(Mic soiutions for nonlin- ear evolution equations using Exp -function method [ J ]. Cllaos, Solitons and Fractals, 2007,54 : 1421 - 1429.
  • 6ZHOU Y B, WANG M L, WANG Y L. Periodic wave so- lutions to a coupled KdV equations with variable coeffi- cients [J]. Phys Lett A, 2003,308:31 -36,.
  • 7WANG M L, LIA X Z, ZHANG J L. The (G'/G) - ex- pansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics [ J ]. Phys Lett A, 2008,372:417 - 423.
  • 8LI W A, CHEN H, ZHANG G C. The (to/g) -expan- sion method and its application to Vakhnenko equation [J]. Chinese Phys B,2009,18(2) :400 - 404.
  • 9TAJIRI M. On N - soliton solutions of coupled Higgs field equation [J]. J Phys Soc Jpn, 1983,52:2277 -2280.
  • 10HU X B, GUO B L, TAM H. Homoclinic orbits for the coupled Schrfidinger - Boussinesq equation and coupled Higgs equation [J]. J Phys Soc Jpn,2003,71 (1):189 - 190.

共引文献8

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西华师范大学学报（自然科学版）
2015年 第4期

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