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用同伦分析法求解KdV方程的孤波解 被引量：2

Solving solitary wave solutions of KdV equation with the homotopy analysis method
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摘要 利用同伦分析法求解KdV方程,得到了其孤立波的近似解析解,与精确解比较二者非常接近.研究结果说明,同伦分析法在求解非线性演化方程的孤立波解时,仍然是一种行之有效的方法. A class of solitary wave solutions of KdV equation are obtained by using the homotopy analysis method （HAM）. Comparing the solutions given by the HAM with the exact ones, the result shows that they are agreement very well with each other. The results indicate that the HAM is still valid and effective for solving the solitary wave solutions of nonlinear evolution equations.
作者 杨红娟 石玉仁
机构地区 西北师范大学物理与电子工程学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2009年第5期39-43,共5页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10575082) 教育部科学技术研究重点项目(209128) 西北师范大学科技创新工程资助课题(NWNU-KJCXGC-03-53)
关键词 同伦分析法 KDV方程 孤波解 homotopy analysis method KdV equation solitary wave solution
分类号 O415 [理学—理论物理]
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参考文献18

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二级参考文献37

共引文献227

同被引文献19

  • 1石玉仁,许新建,吴枝喜,汪映海,杨红娟,段文山,吕克璞.同伦分析法在求解非线性演化方程中的应用[J].物理学报,2006,55(4):1555-1560. 被引量：27
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引证文献2

二级引证文献3

西北师范大学学报（自然科学版）
2009年 第5期

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