| 受迫耗散Boussinesq方程的可积性质和孤波解的探讨 |
| |
| 引用本文： | 孟祥花,许晓革.受迫耗散Boussinesq方程的可积性质和孤波解的探讨[J].数学的实践与认识,2014(17). |
| |
| 作者姓名： | 孟祥花 许晓革 |
| |
| 作者单位： | 北京信息科技大学理学院; |
| |
| 基金项目： | 国家自然科学基金(61072145);北京市优秀人才项目(2013D005007000003) |
| |
| 摘 要： | 考虑到耗散效应和地形外力,Rossby波的振幅可由受迫耗散Boussinesq方程来描述.当包含这两项时,模型比较复杂,不具有Painleve性质.通过将模型双线性化,双线性方法是一个可寻找孤波解和B(a|¨)cklund变换的方法.通过截断的Painleve展开式,得到了将方程双线性化的合适的因变量变换.然后得到了受迫耗散Boussinesq方程的单孤波解和B(a|¨)cklund变换.
|
| 关 键 词： | 受迫耗散Boussinesq方程 Painleve性质 双线性方程 孤波解 Bcklund变换 |
The Integrable Properties And Solitary Wave Solution for a Forced Dissipative Bousssineq Equation |
| |
| Abstract: | Considering the dissipation effect and topographic forcing,the Rossby waves amplitude can be modeled by a forced dissipative Boussinesq equation.Including both terms,the modeling equation is complicated and doesn't possess the Painleve property.The bilinear method is an approach for seeking soliton solutions and Backlund transformation by bilinearizing the investigated equation.Through the truncated Painleve expansion,the suitable dependent variable transformation for the forced dissipative Boussinesq equation is found to biUnearize the equation.And then,the one-sohtary wave solution and Backlund transformation for the equation are obtained. |
| |
| Keywords: | Forced dissipative Boussinesq equation Painleve' property Bilinear equation Solitary wave solution B(a|¨)cklund transformation |
| 本文献已被 CNKI 等数据库收录！ |
