| 具有分布时滞的KdV方程的周期行波解的存在性 |
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| 引用本文： | 赵志红,徐远通. 具有分布时滞的KdV方程的周期行波解的存在性[J]. 数学的实践与认识, 2008, 38(17) |
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| 作者姓名： | 赵志红 徐远通 |
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| 作者单位： | 中山大学,数学与计算机科学学院,广州,510275 |
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| 摘 要： | 将研究具有分布时滞的K dV方程Ut+(f*U)Ux+τUxx+Uxxx=0,得出当时滞核函数为弱一般核时,时滞方程周期行波解的存在性.
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| 关 键 词： | KdV方程 分布时滞 正规双曲奇异扰动理论 周期行波解 |
Existence of Periodic Traveling Wave Solution of KdV Equation |
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| ZHAO Zhi-hong,XU Yuan-tong. Existence of Periodic Traveling Wave Solution of KdV Equation[J]. Mathematics in Practice and Theory, 2008, 38(17) |
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| Authors: | ZHAO Zhi-hong XU Yuan-tong |
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| Abstract: | We study the KdV equation with distributed delayUt+(f*U)Ux+τUxx+Uxxx=0,obtain the periodic traveling wave solutions for this delay equation when the delay kernal is ″weak″ generic kernal. |
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| Keywords: | KdV equation distributed delay normal hyperbolic geometric singular perturbation theory periodic traveling wave solution |
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