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- W4234540726 abstract "摘要 首先构造了loop代数A～2的一个新的子代数,设计了一个等谱问题.应用屠格式求出了著名的AKNS方程族的一类扩展可积模型,即可积耦合.然后将这种求可积耦合的方法一般化,可用于一大类方程族,如KN族、GJ族、WKI族等谱系的可积耦合.提出的方法具有普遍应用价值.最后作为AKNS方程族的特例,求得了KdV方程和MKdV方程的可积耦合 关键词: 可积耦合 / loop代数 / AKNS方程族 Abstract Keywords: / / 作者及机构信息 郭福奎2, 张玉峰1 (1)大连理工大学应用数学系,大连116024; (2)山东科技大学应用数学系,泰安271019 基金项目: 国家自然科学基金 (批准号 :10 0 72 0 13)资助的课题~~ Authors and contacts Guo Fu-Kui2, Zhang Yu-Feng1 (1)大连理工大学应用数学系,大连116024; (2)山东科技大学应用数学系,泰安271019 参考文献 施引文献" @default.
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- W4234540726 date "2002-01-01" @default.
- W4234540726 modified "2023-09-26" @default.
- W4234540726 title "AKNS方程族的一类扩展可积模型" @default.
- W4234540726 doi "https://doi.org/10.7498/aps.51.951" @default.
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