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A NEW HIERARCHY OF LAX AND LIOUVILLE INTEGRABLE EVOLUTION EQUATIONS ASSOCIATED WITH AN ISOSPECTRAL PROBLEM IN THE LOOP ALGEBRA■

A NEW HIERARCHY OF LAX AND LIOUVILLE INTEGRABLE EVOLUTION EQUATIONS ASSOCIATED WITH AN ISOSPECTRAL PROBLEM IN THE LOOP ALGEBRA■
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摘要 In this paper, an isospectral problem with five potentials is investigated in loop algebra A2 such that a new hierarchy of evolution equations with five arbitrary functions is obtained. And then by fixing the five arbitrary functions to be certain flmctions and using the trace identity, the generalized Hamiltonian structure of the hierarchy of evolution equations is given, it is shown that this hierarchy of equations is Liouville integrable. Finally some special cases of the isospectral problem are also given.
作者 Zhenya YAN
机构地区 Key Laboratory of Mathematics Mechanization
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第3期301-306,共6页 系统科学与复杂性学报（英文版）
基金 This work was supported by the National Natural Science Foundation of China(No.10401039) the National Key Basic Research Project of China(No. 2004CB318000)
关键词 Isospectral problem loop algebra Lax integrable Liouville integrable Hamiltonian structure. 哈密尔敦函数结构 积分 环代数 等光谱问题
分类号 O15 [理学—基础数学]
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参考文献11

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Journal of Systems Science & Complexity
2006年 第3期

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