High-Order Binary Symmetry Constraints of a Liouville Integrable Hierarchy and Its Integrable Couplings
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摘要:
A 3 × 3 matrix spectral problem and a Liouville integrable hierarchy are constructed by designing a new subalgebra of loop algebra A2. Furthermore, high-order binary symmetry constraints of the corresponding hierarchy are obtained by using the binary nonlinearization method. Finally, according to another new subalgebra of loop algebra A2, its integrable couplings are established.