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 69 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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Zhang}, J. Math. Phys. 43, No. 1, 466--472 (2002; Zbl 1052.37055) Full Text: DOI 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.