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组合方程的孤立波解 被引量：1

The solitary wave solutions to a combination equation
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摘要 讨论了一个由modified Camassa-Holm方程(简mCH方程)和Camassa-Holm方程(简称CH方程)组合的新方程的孤立波解的问题.通过运用sine-cosine法和tanh法分别求出了此组合方程的孤立波解.分析发现,这2种方法同样适用于求解其他一些演化方程的孤立波解. The solitary wave solutions of a combination equation are discussed. By using of the sine-cosine method and the tanh method, the solitary wave solutions of the equation was obtained. Moreover, itts found that this method is also applicable to solving some other solitary wave solutions of evolution equations.
作者 杨海霞 赵敬宜
机构地区 西北大学数学系 西北大学非线性研究中心
出处 《纺织高校基础科学学报》 CAS 2013年第4期432-435,共4页 Basic Sciences Journal of Textile Universities
关键词 Camassa—Holm方程 MODIFIED Camassa—Holm方程 sine-cosine法 tanh法 Camassa-Holm equation modified Camassa-Holm equation sine-cosine method tanh method
分类号 O174.29 [理学—基础数学]
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参考文献10

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同被引文献21

  • 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：19
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纺织高校基础科学学报
2013年 第4期

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