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KdV-mKdV方程及其级数解
  • ISSN号：1673-808X
  • 期刊名称：桂林电子科技大学学报
  • 时间：2012
  • 页码：398-401
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004
  • 相关基金：国家自然科学基金（11061010 11161013）; 广西自然科学基金（2012GXNSFAA053003 2013GXNSFAA019010）
  • 相关项目：奇非线性波的动力学与精确解研究
作者： 韦敏志|唐生强|
关键词： Schrodinger-KdV方程, 动力系统理论, 光滑孤立波, 光滑周期波, Schr?dinger-KdV equation, bifurcation theory of dynamical system, smooth solitary wave solution, periodic wave solution
中文摘要：

为了得到Schrodinger-KdV方程的行波解,运用平面动力系统理论方法,对其动力学行为进行研究,证明了该方程光滑孤立波解和光滑周期波解的存在性,并在不同的参数条件下,给出了各类解存在的充分条件,求出了所有显式精确行波解。

英文摘要：

In order to obtain the traveling wave solution of Schrdinger-KdV equation,the bifurcation theory of dynamical system is used to studied the bifurcation behavior of Schrdinger-KdV equation,the existence of solitary wave solution and smooth periodic wave solution is obtained,Under the different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given,All exact explicit parametric representations of the above waves are determined.

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奇非线性波的动力学与精确解研究
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奇异孤子与周期波解的定性及稳定性研究
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期刊信息
  • 《桂林电子科技大学学报》
  • 主管单位:桂林电子科技大学
  • 主办单位:桂林电子科技大学
  • 主编：古天龙
  • 地址：桂林市金鸡路1号
  • 邮编：541004
  • 邮箱：jgiet@guet.edu.cn
  • 电话：0773-2291014 2290812
  • 国际标准刊号：ISSN：1673-808X
  • 国内统一刊号：ISSN：45-1351/TN
  • 邮发代号:
  • 获奖情况:
  • 全国高等学校自然科学学报优秀编辑质量奖,广西优秀自然科学期刊,广西高校优秀自然科学学报,《CAJ-CD规范》执行优秀期刊,中国科技核心期刊
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  • 波兰哥白尼索引,美国剑桥科学文摘
  • 被引量:1908