一个新的李代数，新的非线性可积耦合及其哈密顿结构
일개신적리대수，신적비선성가적우합급기합밀돈결구
A New Lie Algebra Structure, New Nonlinear Integrable Couplings and its Hamiltonian Structures
  • 万方数据
    工程数学学报 공정수학학보
    CHINESE JOURNAL OF ENGINEERING MATHEMATICS
    2014年 3期 463-474 ,共12页

    魏含玉%夏铁成

    위함옥%하철성

    李代数%变分恒等式%非线性可积耦合%哈密尔顿结构 李代數%變分恆等式%非線性可積耦閤%哈密爾頓結構
    리대수%변분항등식%비선성가적우합%합밀이돈결구
    Lie algebras%variational identity%nonlinear integrable couplings%Hamiltonian structures
    通过引入一个新的显式李代数得到了一个孤子族的非线性可积耦合，利用相应圈代数上的变分恒等式给出了非线性可积耦合的哈密尔顿结构。本文所给的方法也可以应用于其它孤子族的非线性可积耦合。
    통과인입일개신적현식리대수득도료일개고자족적비선성가적우합，이용상응권대수상적변분항등식급출료비선성가적우합적합밀이돈결구。본문소급적방법야가이응용우기타고자족적비선성가적우합。
    A new explicit Lie algebra structure is introduced for which the nonlinear inte-grable couplings of a soliton hierarchy is obtained. Variational identity over the corresponding loop algebras is used to furnish Hamiltonian structures for the re-sulting nonlinear integrable couplings. The approach presented in the paper can also provide nonlinear integrable couplings for other soliton hierarchies.
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