改进的Boussinesq方程的精确行波解及其波形随波速的演化  

Exact Travelling Wave Solutions for the Improved Boussinesq Equation And the Effect of wave Velocity on Wave Shape

作　　者：李韶伟 Li Shaowei(School of Electronics and Information Engineering,Taizhou University,Taizhou 318000,China)

机构地区：[1]台州学院电子与信息工程学院,浙江台州318000

出　　处：《台州学院学报》2020年第3期1-6,12,共7页Journal of Taizhou University

基　　金：台州学院校立培育项目(2017PY003)。

摘　　要：利用首次积分法,得到了改进的Boussinesq方程的所有有界精确行波解。根据平面动力系统理论,分析得到这些解中只有一个解是钟状孤波解,其他都是周期波解。进一步探讨方程的行波解波形随波速的演化关系。All possible exact single travelling wave solutions of the improved Boussinesq equation are obtained by using the first integral method. According to the conclusions of planar dynamic system theory, one of these solutions is bounded bell-shaped soliton solution,and others are bounded periodic wave solutions. Furthermore,we discuss and simulate the effect of wave velocity on wave shape.

关 键 词：首次积分法 平面动力系统 改进的Boussinesq方程 

分 类 号：O175[理学—数学]