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

Author

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  • Hongwei Yang
  • Huanhe Dong
  • Baoshu Yin
  • Zhenyu Liu

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.

Suggested Citation

  • Hongwei Yang & Huanhe Dong & Baoshu Yin & Zhenyu Liu, 2012. "Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources," Advances in Mathematical Physics, Hindawi, vol. 2012, pages 1-14, December.
    • Handle: RePEc:hin:jnlamp:272904
    DOI: 10.1155/2012/272904
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