Guo, Fukui Subalgebras of the loop algebra \(\tilde A_1\) and integrable Hamiltonian hierarchies of equations. (Chinese. English summary) Zbl 0953.35136 Acta Math. Sci. (Chin. Ed.) 19, No. 5, 507-512 (1999). Summary: Choosing a subalgebra of the loog algebra \(\widetilde A_1\), two linear isospectral problems are established and two new integrable Hamiltonian hierarchies of equations are derived. The method shown in this paper can be used to obtain numerous integrable Hamiltonian hierarchies of equations. Cited in 15 Documents MSC: 35Q58 Other completely integrable PDE (MSC2000) 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Keywords:loop algebra; integrable Hamiltonian hierarchies PDFBibTeX XMLCite \textit{F. Guo}, Acta Math. Sci. (Chin. Ed.) 19, No. 5, 507--512 (1999; Zbl 0953.35136)