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Nonlinear Bi‐Integrable Couplings of Multicomponent Guo Hierarchy with Self‐Consistent Sources

Hongwei Yang, Huanhe Dong, Baoshu Yin and Zhenyu Liu

Advances in Mathematical Physics, 2012, vol. 2012, issue 1

Abstract: Based on a well‐known Lie algebra, the multicomponent Guo hierarchy with self‐consistent sources is proposed. With the help of a set of non‐semisimple Lie algebra, the nonlinear bi‐integrable couplings of the multicomponent Guo hierarchy with self‐consistent sources are obtained. It enriches the content of the integrable couplings of hierarchies with self‐consistent sources. Finally, the Hamiltonian structures are worked out by employing the variational identity.

Date: 2012
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https://doi.org/10.1155/2012/272904

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