| 利用推广的(G′/G)展开法求解(2+1)维BBM方程 |
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| 引用本文： | 邢秀芝,杨红艳,卜春霞.利用推广的(G′/G)展开法求解(2+1)维BBM方程[J].数学的实践与认识,2011(16). |
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| 作者姓名： | 邢秀芝 杨红艳 卜春霞 |
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| 作者单位： | 周口师范学院数学系;中原工学院理学院;郑州大学数学系; |
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| 基金项目： | 河南省基础与前沿技术研究项目(112300410109); 河南省教育厅自然科学基金(2010A110022) |
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| 摘 要： | 利用推广的(G′/G)展开法,借助于计算机代数系统Mathematica,获得了(2+1)维BBM方程的丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示.
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| 关 键 词： | (2+1)维BBM方程 推广的(G'/G)展开法 显式行波解 齐次平衡法 |
Solving(2+1)BBM Equa tion by Us ing Extended(G′/G)Expansion Method |
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| XING Xiu-zhi,YANG Hong-yan,BU Chun-xia.Solving(2+1)BBM Equa tion by Us ing Extended(G′/G)Expansion Method[J].Mathematics in Practice and Theory,2011(16). |
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| Authors: | XING Xiu-zhi YANG Hong-yan BU Chun-xia |
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| Institution: | XING Xiu-zhi~1,YANG Hong-yan~2,BU Chun-xia~3 (1.Department of Mathematics,Zhoukou Normal University,Zhoukou,466001,China) (2.College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China) (3.Department of Mathematics,Zhengzhou University,Zhengzhou,450052,China) |
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| Abstract: | By using the extended(G'/G) expansion method and with the aid of computer algebra system Mathematica,abundant exact travelling wave solutions of the(2+1)dimension BBM equation are successfully obtained.The solutions are expressed by hyperbolic functions, trigonometric functions and rational functions contained double arbitrary parameters. |
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| Keywords: | (2 1)BBM equation extended(G'/G) expansion method exact travelling wavesolution homogeneous balance |
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