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.
作者
李韶伟
Li Shaowei(School of Electronics and Information Engineering,Taizhou University,Taizhou 318000,China)
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)。
