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G'/G方法构造三维空间中Klein-Gordon-Zakharov方程的精确解 被引量：2

G′/G Method and Exact Solutions to the Coupled Klein-Gordon-Zakharov Equations in Three Dimensional Space
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摘要 结合齐次平衡原理,运用G'/G展开方法,借助于计算机代数系统Mathematica构造了三维空间中Klein-Gordon-Zakharov方程的一系列显示精确解。这些解包括包络型孤立波解、双曲函数解、三角函数解以及有理函数解。 Based on homogeneous balance method, G＇/G expansion method was used to obtain new explicit exact solutions of coupled Klein-Gordon-Zakharov equations in three dimensional space with the aid of Mathematica. The solitary wave solutions, hyperbolic function solutions, trigonometric function solutions and rational function solutions were included in these solutions.
作者 曹瑞
机构地区 菏泽学院数学系
出处 《贵州大学学报（自然科学版）》 2012年第1期20-22,共3页 Journal of Guizhou University:Natural Sciences
关键词 Klein-Gordon-Zakharov方程 G'/G展开方法 精确解 齐次平衡法 Klein-Gordon-Zakharov equations G＇/G expansion method exact solution homogeneous balance method
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献10

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共引文献2

同被引文献22

  • 1夏娟,崔俭春,尚亚东.一类三阶非线性波动方程丰富的显式精确解[J].广州大学学报（自然科学版）,2009,8(6):16-19. 被引量：3
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  • 3陈翰林,鲜大权.Klein-Gordon-Zakharov方程组的周期波解[J].应用数学学报,2006,29(6):1139-1144. 被引量：6
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贵州大学学报（自然科学版）
2012年 第1期

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