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Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti–Johnson (GJ) hierarchy and coupling integrable couplings

Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti–Johnson (GJ) hierarchy and coupling integrable couplin

Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti–Johnson (GJ) hierarchy and coupling integrable couplings  
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The integrable couplings of the Giachetti–Johnson (GJ) hierarchy are obtained by the perturbation approach and its Hamiltonian structure is given for the first time by component-trace identities. Then, coupling integrable couplings of the GJ hierarchy are worked out.
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