耦合Klein-Gordon方程组与Klein-Gordon方程的同宿轨道(英文)  

Homoclinic orbits for the coupled Klein-Gordon equation and Klein-Gordon equation

作　　者：高平[1] 蔡成健[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2009年第4期1-4,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：Supported by the National Natural Science Foundation of China(2007CB814800)

摘　　要：近耗散偏微分方程的同宿轨的存在性由于被认为与混沌有密切联系而得到广泛研究.文章用Hirota方法获得了耦合Klein-Gordon方程组与Klein-Gordon方程的同宿轨的解析解,并给出数值模拟的结果.There have been extensively studied on the extensive of homoclinic orbits for nearly dissipative PDEs,which are closely related to chaos.In the paper,we will use Hirota's method to obtain analytic expressions of homoclinic orbits for the coupled Klein-Gordon equation and Klein-Gordon equation,and present numerical simulation result.

关 键 词：KLEIN-GORDON方程 同宿轨道 HIROTA方法 

分 类 号：O175[理学—数学]