| 一类NLS-MKDV可积方程族及其可积耦合 |
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| 引用本文： | 于宪伟,赵晓赞. 一类NLS-MKDV可积方程族及其可积耦合[J]. 渤海大学学报(自然科学版), 2012, 33(2): 110-115 |
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| 作者姓名： | 于宪伟 赵晓赞 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州,121013 |
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| 摘 要： | 由loop代数的一个子代数出发,建立一个新的等谱问题,利用屠格式导出了一类可积方程族,可约化为NLS-MKDV方程族.再利用迹恒等式建立其Hamilton结构,再进一步求出可积耦合系统.
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| 关 键 词： | loop代数 可积系 Hamilton结构 可积耦合 |
A class of NLS-MKDV integrable equations and their integrable coupling |
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| YU Xian-wei,ZHAO Xiao-zan. A class of NLS-MKDV integrable equations and their integrable coupling[J]. Journal of Bohai University:Natural Science Editio, 2012, 33(2): 110-115 |
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| Authors: | YU Xian-wei ZHAO Xiao-zan |
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| Affiliation: | (College of Mathematics and Physics,Bohai University,Jinzhou 121013,China) |
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| Abstract: | Based on a sub-algebra of a new loop algebra,an isospectral problem is designed,and an integrable hierarchy equations which is reduced to the NLS-MKDV hierarchy of equations is worked out by using Tu scheme.Besides,the structure of its Hamilton is established by using trace identity,and integrable coupling system is found. |
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| Keywords: | loop algebra integrable system Hamilton structure integrable coupling |
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