Enlarging spectral problems to construct integrable couplings of soliton equations

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Semi-direct sums of Lie algebras and continuous integrable couplings (2006, background): “roduction Integrable couplings have been receiving growing attention recently. A few ways to construct integrable couplings are presented by using perturbations [1, 2, 3], enlarging spectral problems [4, 5], and creating new loop Lie algebras [6, 7]. The problem of integrable couplings can be expres”
Semidirect sums of Lie algebras and discrete integrable couplings (2006, methodology): “As in the continuous cases [4, 15], suppose that”