Tri-integrable Couplings by Matrix Loop Algebras
Tri-integrable Couplings by Matrix Loop Algebras
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DOI：
10.1515/ijnsns-2013-0011
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发表时间：
2013-01
期刊：
影响因子：
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通讯作者：
W. Ma;Jinghan Meng;Huiqun Zhang
中科院分区：
文献类型：
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作者：
W. Ma;Jinghan Meng;Huiqun Zhang
摘要建立了一类非半单矩阵环代数，并利用相应的零曲率方程构造了三重可积耦合。作为一个说明性的例子AKNS方程的应用程序。所得到的三可积耦合的Hamilton结构由所给出的矩阵环代数上的变分恒等式提供，这意味着对称性和守恒泛函序列的交换性。
Abstract We create a class of non-semisimple matrix loop algebras, and use the associated zero curvature equations to construct tri-integrable couplings. An application is made for the AKNS equations as an illustrative example. Hamiltonian structures of the resulting tri-integrable couplings are furnished by the variational identities over the presented matrix loop algebras, which implies the commutativity of the sequences of symmetries and conserved functionals.