| 一类具有四次多项式势的非线性波方程的扭结波解 |
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| 引用本文： | 周顺喜.一类具有四次多项式势的非线性波方程的扭结波解[J].玉溪师范学院学报,2008,24(8):36-39. |
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| 作者姓名： | 周顺喜 |
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| 作者单位： | 玉溪一中,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具有四次多项式势的非线性波方 程的扭结波.在一些参数条件下画出了该方程平面系统的相图,根据相图找到了扭结波的存在条件,求出了扭结波的解.用数学软件MapIe对行波方程进行了数值模拟,得到了扭结波的平面模拟图,数值模拟进一步验证了理论分析结果.
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| 关 键 词： | 波动方程 数值模拟 异宿轨 扭结波 |
The Kink Solutions of a Nonlinear Equation with Quartic Polynomial Potential |
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| ZHOU Shun-xi.The Kink Solutions of a Nonlinear Equation with Quartic Polynomial Potential[J].Journal of Yuxi Teachers' College,2008,24(8):36-39. |
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| Authors: | ZHOU Shun-xi |
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| Institution: | ZHOU Shun-xi(Yuxi No.1 Middle School,Yuxi,Yunnan 653100) |
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| Abstract: | The qualitative theory of ordinary differential equations and numerical simulation method were employed to investigate the kink waves of a nonlinear quartic wave equation.The bifurcation phase portraits were drawn under some parameter conditions,through which the parameter conditions that the kink waves appeared were found,and their solutions were obtained.The mathematical software MAPLE was used to simulate numerically the traveling wave equation.The planar simulation graph was obtained and the numerical s... |
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| Keywords: | Wave Equation Numerical Simulation Heteroclinic Orbit Kink Wave |
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