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| 广义KdV方程的周期初边值问题与相似变换相似解 | |
| 引用本文： | 尚亚东.广义KdV方程的周期初边值问题与相似变换相似解[J].西安石油大学学报(自然科学版),1995(2). |
| 作者姓名： | 尚亚东 |
| 作者单位： | 西安石油学院基础部 |
| 摘 要： | 证明了一类广义ＫｄＶ方程周期初值边值问题的解在Ｌ２意义下关于初值及非齐次项的稳定性和唯一性；借助于单参数的无穷小变换李群，得到了齐次方程的相似变换和相似解． |
| 关 键 词： | 偏微分方程，变换（数学），周期，边界条件，广义KdV方程，周期初值边值，无穷小变换，相似解 |
The Periodic Initial-Boundary Value Problem for the Generalized KdV Equations and Similarity Transformation and Similarity Solutions |
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| Shang Yadong.The Periodic Initial-Boundary Value Problem for the Generalized KdV Equations and Similarity Transformation and Similarity Solutions[J].Journal of Xian Shiyou University,1995(2). | |
| Authors: | Shang Yadong |
| Abstract: | he uniqueness and stability of the solution of the periodic initial boundary value problem for the generalized kdV equation are proved' The similarity solution were obtained by using the Li's infinitesimal transformation. |
| Keywords: | artial differential equation transformation (mathematics) period boundary condition/generalized KdV equation periodic initial-boundary value infinitesimal transformation similarity solution |
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