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| 一类四阶Boussinesq方程的扭结波解 | |
| 引用本文： | 谢绍龙,高斌,张万秀.一类四阶Boussinesq方程的扭结波解[J].玉溪师范学院学报,2006,22(6):82-85. |
| 作者姓名： | 谢绍龙 高斌 张万秀 |
| 作者单位： | 1. 玉溪师范学院,数学系,云南,玉溪,653100 2. 玉溪师范学院,物理系,云南,玉溪,653100 3. 玉溪师范学院,大学英语部,云南,玉溪,653100 |
| 摘 要： | 用微分方程定性理论结合数值模拟方法研究了一类非线性4阶Boussinesq方程的扭结波．在r>0的条件下,给出了扭结波的存在条件,用数学软件Maple对行波方程进行数值模拟,得到了扭结波的平面模拟图．求出了扭结波的解,并通过数值模拟验证了其理论分析结果的正确性． |
| 关 键 词： | Boussinesq方程 定性理论 异宿轨 扭结波 |
| 文章编号： | 1009-9506(2006)06-0082-04 |
| 修稿时间： | 2006年4月7日 |
The Kink Waves of A Boussinesq Quartic Equation |
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| XIE Shao-long,GAO Bin,ZHANG Wan-xiu.The Kink Waves of A Boussinesq Quartic Equation[J].Journal of Yuxi Teachers' College,2006,22(6):82-85. | |
| Authors: | XIE Shao-long GAO Bin ZHANG Wan-xiu |
| Abstract: | The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation. Under the condition r > 0, the parameter conditions that the kink waves appear are found, the planar graphs of the traveling wave equation are simulated by use mathematical software Maple, and their solutions are obtained. The numerical simulation and qualitative results are identical. |
| Keywords: | Boussinesq Equation Qualitative Theory Heteroclinic Orbit Kink Wave |
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