| 一个含三次多项式的非线性偏微分方程的孤立波 |
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| 引用本文： | 谢绍龙,洪晓春. 一个含三次多项式的非线性偏微分方程的孤立波[J]. 玉溪师范学院学报, 2004, 20(8): 6-10 |
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| 作者姓名： | 谢绍龙 洪晓春 |
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| 作者单位： | 1. 玉溪师范学院,数学系,云南,玉溪,653100
2. 曲靖师范学院,数学系,云南,曲靖,655000 |
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| 摘 要： | 用动力系统分支方法研究了含三次多项式的非线性方程un -c20 uxx u3 αu2 βu-γ=0 .给出了参数空间的划分 ,在各种参数条件下得到了孤立波的个数 .
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| 关 键 词： | 非线性偏微分方程 孤立波 同宿轨 |
Bifurcation of Solitary Waves of the Nonlinear Wave Equation with Cubic Polynomial Potential |
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| Abstract. Bifurcation of Solitary Waves of the Nonlinear Wave Equation with Cubic Polynomial Potential[J]. Journal of Yuxi Teachers' College, 2004, 20(8): 6-10 |
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| Authors: | Abstract |
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| Abstract: | This paper investigates the bifurcation of solitary waves of the nonlinear wave equation with cubic polynomial potential:un-c20uxx+u3+αu2+βu-γ=0.The bifurcation theory of dynamical systems is used to analyze them qualitatively.Bifurcation parameter sets are shown and a number of solitary waves are given. |
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| Keywords: | the Nonlinear Wave Equation olitary waves homoclinic orbit |
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