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带强迫项变系数组合KdV方程的有理展开式精确解 被引量:1

Exact solution of rational expansion method to the variable coeffcient combined KdV equation with forced term
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摘要 利用符号计算软件Maple,在一个新的广义的Riccati方程有理展开法的帮助下,求出了带强迫项变系数组合KdV方程的有理展开式的精确解,该方法还可被应用到其他变系数非线性发展方程中去. With the aid of symbolic computation system Maple, several new kinds of generalized exact solutions for the variable coefficient combined KdV equation with forced term are obtained by using a new generalize Riccati equation rational expansion method. This approach can also be applied to other variable coefficient nonlinear evolution equations.
作者 刘娟
出处 《纯粹数学与应用数学》 CSCD 2012年第5期705-710,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(61104119)
关键词 广义的Riccati方程有理展开法 变系数组合KdV方程 强迫项 类孤波解 generalized Riccati equation rational expansion method, variable coefficient combined KdV equation, forced term, solitary-wave-like solutions
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