Lie Algebras for Constructing Nonlinear Integrable Couplings |
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| Authors: | ZHANG Yu-Feng |
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| Affiliation: | College of Science, China University of Mining and Technology, Xuzhou 221116, China |
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| Abstract: | 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. |
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| Keywords: | Lie algebra nonlinear integrable couplings Hamiltonian structure |
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