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G'/G展开法求解变系数KP方程的精确解 被引量:6

G'/G expansion method and exact solutions for the KP variable coefficients equation
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摘要 通过G'/G展开法,借助计算机代数系统Maple对变系数KP方程进行了求解,得到了变系数KP方程的精确解,扩大了对变系数KP方程的研究成果,拓展了G'/G展开法的应用. By introducing and extending the G′/G-expansion method with the aid of computer algebraic system Maple,the exact solutions were obtained for the variable coefficients KP equation.The research on the variable coefficients KP equation was extended,the application of the G′/G expansion method was generalized.
作者 郭冠平
出处 《浙江师范大学学报(自然科学版)》 CAS 2013年第2期166-171,共6页 Journal of Zhejiang Normal University:Natural Sciences
关键词 G' G展开法 变系数KP方程 精确解 孤立波解 双曲函数解 the G′/G-expansion method KP equation with variable coefficients exact solutions solitary wave solution hyperbolic function solutions
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  • 1曾昕,张鸿庆.(2+1)维Boussinesq方程的Backlund变换与精确解[J].物理学报,2005,54(4):1476-1480. 被引量:37
  • 2叶彩儿.一类无散射偏微分方程组的变换和精确解[J].浙江林学院学报,2003,20(1):95-97. 被引量:5
  • 3何宝钢,徐昌智,张解放.扩展的形变映射方法和(2+1)维破裂孤子方程的新解[J].物理学报,2006,55(2):511-516. 被引量:20
  • 4WANG M L,ZHENG L X,ZHANG J L. The (G'/G)- expansion Method and Traveling Wave Solutions of Nonlinear Evolution Equations in Mathematical Physics[J]. Phys. Lett. A,2008,372(4) :417-423.
  • 5ZHANG J,JIANG F L, ZHAO X Y. An Improved (G'/G)-expansion Method for Solving Nonlinear Evolution Equations[J ]. Int J Comput. Math, 2010,87 ( 8 ) 1716-1725.
  • 6ZAYED E M E. New Traveling Wave Solutions for Higher Dimensional Nonlinear Evolution Equations Using a Generalized (G'/G)-expansion Method [ J ]. J Phys A Math Theor, 2009,42(19) : 195202-195214.
  • 7Chen Y M,Ma S H,Ma Z Y. New Exact Solutions of (3 +1)-dimensional Jimbo-Miwa System[J]. Chin Phys B, 2013,22 (5) : 050510.
  • 8LIU J G,ZENG Z F,HE Y,et al. A Class of Exact Solution of (3-1-1)-dimensional Generalized Shallow Water Equation System[J]. Int J Nonlin Sci Num, 2015,16(1): 43-48.
  • 9LIU J G, ZENG Z F. Multiple Soliton Solutions, Soliton-type Solutions and Rational Solutions for the (3 + 1)-dimensional Potential-YTSF Equation[J]. Indian J Pure Ap Mat,2014,45 : 989-1002.
  • 10LIU J G, ZENG Z F. Extended Generalized Hyperbolic-function Method and Newexact Solutions to the Generalized Hamilton[an and (2q- 1)-dimension- al Nizhnik-Novikov-Veselov Equations by the Symbolic Computation[J].Fund Inform, 2014,132 .. 501- 517.

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