EXACT SOLUTIONS OF KDV EQUATION WITH VARIABLE WATER DEPTH

摘要：

In this paper, the general KdV equation with variable water depth was studied, the seabed bottom function included. A class of exact solutions to the KdV equation in the case of bottom profile p(x)=C1x+C2 have been obtained, including solitary wave solution, periodic solution and rational solution. And the physical meaning of variables about the KdV equation are given. The result indicates that the bottom profile affects the wave profiles significantly.

关键词： KdV equation with variable water depth Ezact solution

作者: JINZHI WANG JIANQIN MEI WANJI CHEN LIJUN LIU

作者单位: State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technolog Department of Applied Mathematics, Dalian University of Technology, Dalian, China State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technolog College of Science, Dalian Nationalities University, Dalian, China

会议类型: 国际会议

会议名称: The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)

会议地点: 大连

会议语种:英文

页码: 68-72

在线出版日期: 2008-12-18（万方平台首次上网日期，不代表论文的发表时间）