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非线性耦合KdV方程的延拓结构 被引量:3

Prolongation Structure of Nonlinear Coupled KdV Equation
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摘要 文章主要利用延拓结构理论,对耦合KdV方程进行研究,得到了该方程对应的延拓代数,并给出了方程的Lax对. We investigate some coupled KdV equations, by means of prolongation structure theory. We discuss their prolongation Lie algebra. The Lax pairs of the corresponding systems are derived theoretically.
作者 加羊杰
出处 《应用数学学报》 CSCD 北大核心 2014年第2期297-303,共7页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11061026)资助项目
关键词 李代数 延拓结构 LAX对 线性谱问题 Lie algebra prolongation structure Lax pair linear spectral problems
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