| 一类非线性四阶波动方程的有界行波解 |
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| 引用本文： | 谢迎春,张万秀.一类非线性四阶波动方程的有界行波解[J].玉溪师范学院学报,2007,23(3):11-16. |
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| 作者姓名： | 谢迎春 张万秀 |
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| 作者单位： | 1. 玉溪市春和中学
2. 玉溪师范学院,数学系,云南,玉溪,653100 |
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| 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四阶波动方程的有界行波,画出了该方程平面系统的相图分支,并根据相图找到了有界行波的存在条件,求出了有界行波的解.用数学软件Maple对行波方程进行了数值模拟,得到了有界行波的平面模拟图,进一步验证了理论分析的结果.
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| 关 键 词： | 波动方程 有界行波 周期轨 同宿轨 |
| 文章编号： | 1009-9506(2007)03-0011-06 |
| 修稿时间： | 2007年1月8日 |
Bounded Traveling Waves of a Nonlinear Quartic Wave Equation |
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| XIE Ying-chun,ZHANG Wan-xiu.Bounded Traveling Waves of a Nonlinear Quartic Wave Equation[J].Journal of Yuxi Teachers' College,2007,23(3):11-16. |
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| Authors: | XIE Ying-chun ZHANG Wan-xiu |
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| Abstract: | The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the bounded traveling waves of a nonlinear quartic wave equation.The bifurcation phase portraits are drawn.The parameter conditions that the bounded traveling waves appear are found,and their solutions are obtained.The planar graphs of the traveling wave equation are simulated by mathematical software Maple.The numerical simulation and qualitative results are identical. |
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| Keywords: | Wave Equation Bounded Traveling Wave Periodic Orbit Homoclinic Orbit |
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