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KdV-mKdV方程及其级数解 被引量：2

The KdV-mKdV equation and series solutions
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摘要 为研究KdV-mKdV方程的级数解,运用扩展的齐次平衡法,将KdV-mKdV方程约化成线性的偏微分方程,得到Bcklund变换以及KdV-mKdV方程的自变换解。通过Bcklund变换和该偏微分方程的多种级数解,获得丰富的精确解,包括多孤立波解、三角函数解和有理级数解。 The series solutions of the KdV-mKdV equation will be studied by using the extended homogenous balance method,we reduce the KdV-mKdV equation to a linear PDE and obtain Bcklund transformation of it.Furthermore,the self-transformation of solutions for the KdV-mKdV equation is obtained.By the Bcklund transformation and various series solutions of the PDE,abundant exact solutions of the KdV-mKdV equation are obtained including the multi-solitary wave solution,trigonometric function series solution,rational series solution and solution consisting of the three types of solutions.
作者 韦敏志 唐生强
机构地区 桂林电子科技大学数学与计算科学学院
出处 《桂林电子科技大学学报》 2012年第5期398-401,共4页 Journal of Guilin University of Electronic Technology
基金 国家自然科学基金(11061010 11161013)
关键词 KDV-MKDV方程 齐次平衡法 Bcklund变换 级数解 KdV-mKdV equation homogenous balance method Bcklund transformation series solution
分类号 O175.2 [理学—基础数学]
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参考文献11

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同被引文献21

  • 1YAN,Zhenya(闫振亚),ZHANG,Hongqing(张鸿庆).AUTO-DARBOUX TRANSFORMATION AND EXACT SOLUTIONS OF THE BRUSSELATOR REACTION DIFFUSION MODEL[J].Applied Mathematics and Mechanics(English Edition),2001,22(5):541-546. 被引量：3
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桂林电子科技大学学报
2012年 第5期

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