| 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. |
| 关键词: 周期尖波解 类扭波解 类反扭波解 孤立波 相图分支 |
| DOI： |
| 分类号:O175.1 |
| 基金项目:Supported by the NSF of China (11271197). |
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| EXACT TRAVELING WAVE SOLUTIONS OF THE OSMOSIS K(2, 3) EQUATION |
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WEI Li-jun1, LI Jie1, LU Shi-ping1,2
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1.School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China;2.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. |
| Key words: periodic cusp wave solution kink-like wave solution antikink-like wave solution soliton the bifurcation of phase portraits |
