Zhang, Yufeng; Zhang, Hongqing A direct method for integrable couplings of TD hierarchy. (English) Zbl 1052.37055 J. Math. Phys. 43, No. 1, 466-472 (2002). 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. Cited in 66 Documents 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 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Zhang}, J. Math. Phys. 43, No. 1, 466--472 (2002; Zbl 1052.37055) Full Text: DOI OpenURL References: [1] DOI: 10.1063/1.526524 · Zbl 0563.35074 [2] DOI: 10.1016/0960-0779(95)00104-2 · Zbl 1080.37578 [3] DOI: 10.1063/1.528449 · Zbl 0678.70015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.