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一类变系数Boussinesq方程的相似约化解

Similarity Solutions for the Variable-Coefficient Boussinesq Equation
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摘要 运用CK直接约化法对一类描述方向上存在可变剪切流动的长波变系数Boussinesq方程进行相似约化,可以得到原方程的一些相似变换和相似解.在已有文献的基础上,用CK直接约化法进一步讨论了变系数Boussinesq方程的相似约化问题,得到了几种新的相似解. The CK direct method is extended to reduce a variable-coefficient Boussinesq equation and five families of symmetry reductions are obtained. We also correct a few mistakes and study the equation further to get some other new symmetry solutions.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2008年第5期585-590,595,共7页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10461006) 内蒙古自然科学基金资助项目(200408020103)
关键词 变系数Boussinesq方程 相似约化 相似解 variable-oefficient Boussinesq equation symmetry reductions symmetry solutions
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