| 含频散项的K(2,3)方程的精确行波解 |
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| 引用本文： | 卫丽君,李洁,鲁世平.含频散项的K(2,3)方程的精确行波解[J].数学杂志,2016,36(1):69-76. |
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| 作者姓名： | 卫丽君 李洁 鲁世平 |
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| 作者单位： | 安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000,安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000,安徽师范大学数学与计算机科学学院, 安徽 芜湖 241000;南京信息工程大学数学与统计学院, 江苏 南京 210044 |
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| 基金项目： | Supported by the NSF of China (11271197). |
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| 摘 要： | 本文研究了包含频散项的K(2,3)方程ut+(u2)x-(u3)xxx=0的分支问题.利用动力系统的定性分析,并且借助Maple软件进行数值模拟得到行波解系统相应的相图,然后通过积分计算得到周期尖波解、类扭波和类反扭波的精确解的函数表达式,以及孤立波精确解的隐函数表达式.
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| 关 键 词： | 周期尖波解 类扭波解 类反扭波解 孤立波 相图分支 |
| 收稿时间： | 2013/8/26 0:00:00 |
| 修稿时间： | 2014/6/23 0:00:00 |
EXACT TRAVELING WAVE SOLUTIONS OF THE OSMOSIS K(2, 3) EQUATION |
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| WEI Li-jun,LI Jie and LU Shi-ping.EXACT TRAVELING WAVE SOLUTIONS OF THE OSMOSIS K(2, 3) EQUATION[J].Journal of Mathematics,2016,36(1):69-76. |
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| Authors: | WEI Li-jun LI Jie and LU Shi-ping |
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| Institution: | School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China,School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China and School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China;College of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China |
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| Abstract: | In this paper, we study the bifurcation of K(2, 3) equation ut+(u2)x-(u3)xxx=0 with osmosis dispersion. Using the qualitative analysis methods of dynamical system and numerical simulation by Maple programs, illustrative phase portraits corresponding to traveling wave system are presented, and expressions of a periodic cusp wave, kink-like and antikink-like wave solutions, and implicit expression of soliton are explicitly given after integrals. |
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| Keywords: | periodic cusp wave solution kink-like wave solution antikink-like wave solution soliton the bifurcation of phase portraits |
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