摘要
本文利用动力系统的定性分析理论研究了K(3,2)方程u_t+(u^3)_x+(u^2)_(xxx)=0的分支问题,并利用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和孤立波的精确解表达式.本文补充了方程K(3,2)的研究结果.
Bifurcation of K（3,2） equation ut ＋ （u3 ）x ＋ （u2 ）xxx = 0 with osmosis dispersion is discussed and investigated by means of the qualitative analysis methods of dynamical system. Illustrative phase portraits corresponding to traveling wave system are presented after numerical simulation by Maple pro- grams. Expressions of the periodic cusp wave and implicit expressions of soliton are explicitly given. It enriches the known results of K（3,2）.
作者
鲁世平
卫丽君
李洁
LUShi-Ping WEI Li-Jun LI Jie(College of Mathematics and Statistics, Nanjing University of Information Science ＆ Technology, Nanjing 210044, China School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China Gaocheng Middle School, Lu＇an 237006, China)
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2016年第6期1222-1226,共5页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11271197)
关键词
周期尖波
孤立波
K(3
2)方程
Periodic cusp wave
Soliton
Osmosis K （3,2） equation
