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应用(G'/G)展开法求非线性弦振动方程的精确解
引用本文:孔淑霞.应用(G'/G)展开法求非线性弦振动方程的精确解[J].高师理科学刊,2014(3):10-12.
作者姓名:孔淑霞
作者单位:德州学院数学科学学院;
基金项目:山东省自然科学基金资助项目(ZR2010AL019)
摘    要:利用(G'/G)展开法,研究了非线性弦振动方程utt-2αuxuxx-2βuxxxx=0的行波解,得到了新的显示精确解,丰富了解的范围.

关 键 词:非线性弦  行波解  (G'/G)展开法

Seeking for exact solutions of nonlinear vibrating string equation with(G'/G)-expansion method
KONG Shu-xia.Seeking for exact solutions of nonlinear vibrating string equation with(G'/G)-expansion method[J].Journal of Science of Teachers'College and University,2014(3):10-12.
Authors:KONG Shu-xia
Institution:KONG Shu-xia ( School of Mathematics Sciences, Dezhou University, Dezhou 253023, China )
Abstract:Studied the travelling wave solutions of the nonlinear vibrating string equation utt-2αuxuxx-2βuxxxx=0, and the new exact solutions are obtained by using of(G'/G) - expansion method, which has enriched the solutions of nonlinear vibrating string equation.
Keywords:nonlinear string  travelling wave solution  (G'/G) - expansion method
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