| 广义特殊Tzitzeica-Dodd-Bullough类型方程的行波解 |
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| 引用本文： | 唐生强,唐清干.广义特殊Tzitzeica-Dodd-Bullough类型方程的行波解[J].数学杂志,2009,29(1). |
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| 作者姓名： | 唐生强 唐清干 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林,541004 |
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| 摘 要： | 本文研究了广义特殊Tzitzeica-Dodd-Bullough类型方程,利用动力系统分支理论方法,证明该方程存在周期行波解,无界行波解和破切波解,并求出了一些用参数表示的显示精确行波解.
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| 关 键 词： | 周期行波解 无界行波解 破切波解 广义特殊Tzitzeica-Dodd-Bullough类型 |
TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED SPECIAL TYPE OF THE TZITZEICA-DODD-BULLOUGH EQUATION |
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| TANG Sheng-qiang,TANG Qing-gan.TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED SPECIAL TYPE OF THE TZITZEICA-DODD-BULLOUGH EQUATION[J].Journal of Mathematics,2009,29(1). |
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| Authors: | TANG Sheng-qiang TANG Qing-gan |
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| Abstract: | In this paper, we study the generalized special Tzitzeica-Dodd-Bullough equations and prove the existence of periodic travelling waves, unbounded travelling wave solutions, obtain some exact explicit parametric representations of the above travelling wave solutions, using the method of bifurcation theory of dynamical systems. |
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| Keywords: | unbounded travelling wave solution periodic travelling wave solution breaking wave solutions the generalized special Tzitzeica-Dodd-Bullough equation |
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