Lie Algebras for Constructing Nonlinear Integrable Couplings

Lie Algebras for Constructing Nonlinear Integrable Couplings
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DOI:
10.1088/0253-6102/56/5/03
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发表时间:
2011-11
影响因子:
3.1
通讯作者:
Zhang Yu-feng
Zhang Yu-feng
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Zhang Yu-feng

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Two new explicit Lie algebras are introduced for which the nonlinear integrable couplings of the Giachetti-Johnson (GJ) hierarchy and the Yang hierarchy are obtained, respectively. By employing the variational identity their Hamiltonian structures are also generated. The approach presented in the paper can also provide nonlinear integrable couplings of other soliton hierarchies of evolution equations.