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A direct method for integrable couplings of TD hierarchy. (English) Zbl 1052.37055
Summary: A direct method for establishing integrable couplings is proposed in this paper. As an example illustration, integrable couplings of TD hierarchy are obtained by constructing a suitable transformation of Lax pairs and a new Lie algebra.

MSC:
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
17B80 Applications of Lie algebras and superalgebras to integrable systems
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
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[1] DOI: 10.1063/1.526524 · Zbl 0563.35074 · doi:10.1063/1.526524
[2] DOI: 10.1016/0960-0779(95)00104-2 · Zbl 1080.37578 · doi:10.1016/0960-0779(95)00104-2
[3] DOI: 10.1063/1.528449 · Zbl 0678.70015 · doi:10.1063/1.528449
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