J4 ›› 2012, Vol. 47 ›› Issue (6): 95-101.
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魏媛,许凤华
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基金资助:
滨州学院科研基金项目(BZXYL1104);山东省自然科学基金项目联合专项(ZR2011AL001);山东省自然科学基金(ZR2010AM029)
Two Lie algebras and their applications
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摘要：
介绍了两类高维李代数H和E及其相应的loop代数和。 利用和,得到了两类新的可积系统的可积耦合的耦合,且得到的新可积系统的可积耦合的耦合可以化简得到DLW方程的可积耦合的耦合。
关键词: loop代数;可积耦合;DLW方程
Abstract:
Two high-dimensional Lie algebras Hand E and the corresponding loop algebras and are introduced. By taking advantage of and , two types of coupling integrable couplings of the new hierarchy are obtained. The coupling integrable couplings of the new hierarchy obtained can be reduced to two types of the coupling integrable couplings of the dispersive long wave DLW equation.
Key words: loop algebra; integrable couplings; DLW equation
魏媛,许凤华. 两类李代数及其应用[J]. J4, 2012, 47(6): 95-101.
Two Lie algebras and their applications. Two Lie algebras and their applications[J]. J4, 2012, 47(6): 95-101.
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http://lxbwk.njournal.sdu.edu.cn/CN/Y2012/V47/I6/95
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