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Zbl 1247.37074
Zhang, Yu-Feng
Lie algebras for constructing nonlinear integrable couplings. (English)
[J] Commun. Theor. Phys. 56, No. 5, 805-812 (2011). ISSN 0253-6102

Summary: 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.
MSC 2000:
*37K10 Completely integrable systems etc.
37K05 Hamiltonian structures, etc.
37L05 General theory, nonlinear semigroups, evolution equations

Keywords: Lie algebra; nonlinear integrable couplings; Hamiltonian structure

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