一类非线性动力系统的孤立子波解  

The Solitary Wave Solution to a Class of Nonlinear Dynamic System

作　　者：欧阳成[1] 莫嘉琪 Ouyang Cheng;Mo Jiaqi(Faculty of Science,Huzhou University,Zhejiang Huzhou 313000;School of Mathematics and Statistic,Anhui Normal University,Anhui Wuhu 241003)

机构地区：[1]湖州师范学院理学院,浙江湖州313000 [2]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《数学物理学报（A辑）》2021年第6期1830-1837,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11771005);浙江省自然科学基金(LY13A010005,KJ2018A0964,KJ2017A901)。

摘　　要：该文用泛函广义变分迭代方法,研究了一类非线性扰动动力系统.首先引入一个相应典型系统的孤立子波解.然后构造一组泛函广义变分式,求出Lagrange乘子,最后构造一组变分迭代关系式,由此便得到了原非线性扰动动力系统的渐近行波解.Using the functional generalized variational iteration method,a class of nonlinear disturbed dynamic system was considered.First introduce solitary solution to a corresponding typical system.And then a set of functional generalized variation constructed,and Lagrange multiplier functions were solved.Finally,the generalized variational iteration was received.Thus,the asymptotic travelling wave solution to the original nonlinear disturbed generalized dynamic system was obtained.

关 键 词：动力系统 非线性 孤立子波 

分 类 号：O175.29[理学—数学]