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OALib Journal期刊
ISSN: 2333-9721
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Vakhnenko-Parkes方程的李对称及其精确解
Keywords: Vakhnenko-Parkes方程,李对称,伴随表示,最优系统,分岔,精确解
Abstract:
运用李对称分析方法和广义对称方法,获得了Vakhnenko-Parkes方程的对称群.证明此方程的李代数的一维最优子代数有4个元素,在伴随表示作用下,证明了该最优系统的最优性.此外,运用动力系统理论,获得了该系统的分岔与精确解.
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