(1+1)维积分微分 Ito方程的精确行波解  

The exact traveling wave solution of the(1+1)dimensional integral differential Ito equation

作　　者：宋佳谦 刘小华 郑任翔 SONG Jia-qian;LIU Xiao-hua;ZHENG Ren-xiang(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《云南民族大学学报（自然科学版）》2019年第2期138-143,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：贵州省科学技术厅项目(黔科合基础[2019]1162);贵州民族大学科研基金(2017YB084)

摘　　要：利用平面动力系统理论和方法对Ito方程等价的平面动力系统进行定性分析,得出Ito方程存在2个钟状孤波解和若干个有界行波解.借助辅助方程法给出了Ito方程的2个钟状孤波解和若干有界行波解的精确表达式,并且这些精确解的显式表达式是首次被得到,以往文献中的结果可以作为文中精确解的推论.Applying the theory of planar dynamical systems,a qualitative analysis of the traveling wave solutions of Ito equation has been carried out,the existence of two bell solitary wave solutions and infinite bounded traveling wave solutions have been obtained. According to the auxiliary equation method,the explicit expressions of two bell-shaped solitary solutions and some bounded traveling wave solutions have been studied. And these exact solutions are obtained for the first time,while the results of the previous literature can be derived from the conclusions of this paper.

关 键 词：Ito方程 行波解 辅助方程法 

分 类 号：O175.2[理学—数学]