含频散项的K(3,2)方程的周期尖波和孤立波解（英文）  

Exact periodic cusp wave and soliton solutions of osmosis K(3,2) equation

作　　者：鲁世平[1] 卫丽君[2] 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)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044 [2]安徽师范大学数学与计算机科学学院,芜湖241000 [3]皋城中学,六安237006

出　　处：《四川大学学报（自然科学版）》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)

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）.

关 键 词：周期尖波 孤立波 K(3 2)方程 

分 类 号：O175.1[理学—数学]