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高阶复系数Swift-Hohenberg方程的精确行波解 被引量：4

The exact travelling solution of the high order complex Swift-Hohenberg equation
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摘要 非线性方程的求解一直是数学及物理学科中的一类重要问题,尤其是关于非线性方程精确解的研究,研究利用(G′/G)-展开法寻找高阶非线性复系数Swift-Hohenberg方程的精确解,通过(G′/G)-展开法取得了高阶非线性复系数Swift-Hohenberg方程的更具一般形式的精确解. Abstract： Solving nonlinear equations is a class of important problem in mathematics and physics, especially studying the exact solutions of nonlinear equations. The new exact solutions of the high-order nonlinear Swift-Hohenberg equation are sought by using（G/G）-expansion method in this paper. Some more generalized formsolutions of the high-order Swift-Hohenberg equation are obtained by using（G/G ）-expansion method.
作者 施业琼
机构地区 广西工学院理学院
出处 《广西工学院学报》 CAS 2012年第3期15-19,共5页 Journal of Guangxi University of Technology
基金 国家自然科学基金项目(11061028) 广西自然科学基金项目(018137) 广西教育厅科研课题项目(201010LX250)资助
关键词 (1+1)维高阶复Swift-Hohenberg方程 (G′ G)-展开法 精确解 （1 ＋1 ）-dimensional high order complex Swift-Hohenberg equation （G/G）-expansion method exactsolution
分类号 O175.29 [理学—基础数学]
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参考文献4

二级参考文献25

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共引文献355

同被引文献22

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广西工学院学报
2012年 第3期

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