(2+1)维Zoomeron方程的无界行波解  

Unbounded Traveling Wave Solutions for the( 2 + 1)-dimensional Zoomeron Equation

作　　者：周钰谦[1,2] 蔡珊珊[2] 刘倩[3] ZHOU Yuqian CAI hanshan LIU Qian(School of Mathematical Sciences, University of Electronic Science and Tcchnology of China, Chengdtt 611731, Siehuan College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, Sichuan College of Computer Science and Technology, Southwest Universlty for Nationalities, Chengdu 610041, Siehuan)

机构地区：[1]电子科技大学数学科学学院,四川成都611731 [2]成都信息工程大学应用数学学院,四川成都610225 [3]西南民族大学计算机科学与技术学院,四川成都610041

出　　处：《四川师范大学学报（自然科学版）》2016年第6期829-832,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11301043和11171046);中国博士后科学基金(2016M602663);四川省教育厅重点科研项目(12ZA224)

摘　　要：利用动力系统分岔方法和微分方程数值模拟的方法研究了(2+1)维Zoomeron方程,获得了系统的参数分岔集和不同拓扑结构的相图.根据这些相图确定了系统的无界行波,并通过计算复杂的椭圆积分获得了它们的解析表达式.In this paper,the bifurcation method of dynamical system and numerical simulation method of differential equation are employed to investigate the （2＋1）-dimensional Zoomeron equation.We obtain differently qualitative phase portraits,by which all traveling waves are identified.Furthermore,by calculating some complicated integrals,we obtain the exact expressions of these unbounded traveling waves.

关 键 词：Zoomeron方程 无界行波解 动力系统 数值模拟 分岔 

分 类 号：O192[理学—数学]