| AN INTEGRABLE HIERARCHY AND ITS EXPANDING LAX INTEGRABLE MODEL |
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| 作者姓名： | 张玉峰 闫庆友 许曰才 |
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| 作者单位： | Dept. of Math. School of Math.，Liaoning Normal University，Dalian 116029，Dept. of Math.，Zhengzhou University，Zhengzhou 450000，School of Business Administration North China Electric Power Univ.，Beijing 102206，Aldult School Shandong University of Science and Technology，Taian 271019 |
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| 基金项目： | ThisworkwassupportedbyNationalNaturalScienceFoundationofChina(No.10471139). |
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| 摘 要： | In general, Liouville integrable hierarchies of evolution equations were obtained by choosing proper U in zero curvature frame Ut - Vx + U, V] = 0 first. But in the present paper, a new Liouville integrable hierarchy possessing bi-Hamiltonian structure is obtained by choosing V with derivatives in x and spectral potentials. Then integrable coupling, i.e. expanding Lax integrable model of the hierarchy obtained is presented by constructing a subalgebra of loop algebra A2.
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| 关 键 词： | 可积递阶 圈代数 消费模型 孤波 |
AN INTEGRABLE HIERARCHY AND ITS EXPANDING LAX INTEGRABLE MODEL |
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| Zhang Yufeng.AN INTEGRABLE HIERARCHY AND ITS EXPANDING LAX INTEGRABLE MODEL[J].微分方程年刊(英文版),2004,20(4):423-428. |
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| Authors: | Zhang Yufeng |
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| Institution: | [1]Dept.ofMath.,SchoolofMath.,LiaoningNormalUniversity,Dalian116029;Dept.ofMath.,ZhengzhouUniversity,Zhengzhou450000 [2]SchoolofBusinessAdministration,NorthChinaElectricPowerUniv.,Beijing102206 [3]AldultSchool,ShandongUniversityofScienceandTechnology,Taian271019 |
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| Abstract: | In general, Liouville integrable hierarchies of evolution equations were obtained by choosing proper U in zero curvature frame Ut - Vx + U, V] = 0 first. But in the present paper, a new Liouville integrable hierarchy possessing bi-Hamiltonian structure is obtained by choosing V with derivatives in x and spectral potentials. Then integrable coupling, i.e. expanding Lax integrable model of the hierarchy obtained is presented by constructing a subalgebra of loop algebra A2. |
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| Keywords: | integrable hierarchy expanding integrable model loop algebra |
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