| Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System with Two Arbitrary Functions |
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| 作者姓名： | XIATie-Cheng YUFa-Jun CHENDeng-Yuan ZHANGYi |
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| 作者单位： | [1]DepartmentofMathematics,BohaiUniversity,Jinzhou121000,China／／DepartmentofMathematics,ShanghaiUniversity,Shanghai200436,China [2]DepartmentofMathematics,BohaiUniversity,Jinzhou121000,China [3]DepartmentofMathematics,ShanghaiUniversity,Shanghai200436,China [4]DepartmentofMathematics,ZhejiangNormalUniverisity,Jinhua321004,China |
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| 摘 要： | A new simple loop algebra ^-GM is constructed, which is devoted to establishing an isospectral problem.By making use of generalized Tu scheme, the multi-component SC hierarchy is obtained. Furthermore, an expanding loop algebra ^-FM of the loop algebra ^-GM is presented. Based on FM, the multi-component integrable coupling system of the multi-component SC hierarchy of soliton equations is worked out. How to design isospectral problem of mulitcomponent hierarchy of soliton equations is a technique and interesting topic. The method can be applied to other nonlinear evolution equations hierarchy.
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| 关 键 词： | 圈代数 同位光谱 多成分SC松弛分层 双层积分 |
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