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三角级数在Burgers-KdV混合型方程中的应用

Apply of trigonometric series in Burgers-KdV equation
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摘要 利用三角级数法将Burgers-KdV混合型方程转化为一组非线性代数方程,进而用待定系数法求解方程组,最后求出了Burgers-KdV混合型方程的精确解. The Burgers-KdV equation is changed into nonlinear algebraic equations based on the trigonometric series, and it can be solved by the method of undetermined coefficients and the Maple software. As a result, the exact solution to the Burgers-KdV equation is successfully derived.
作者 马敏艳 吉飞宇 鱼翔
机构地区 西北大学数学系
出处 《纯粹数学与应用数学》 CSCD 2012年第4期559-563,568,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10671156)
关键词 Burgers-KdV混合型方程 三角级数 精确解 Burgers-KdV equation trigonometric series exact solution
分类号 O175 [理学—基础数学]
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参考文献16

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纯粹数学与应用数学
2012年 第4期

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