Xia, Tiecheng; Zhang, Dengpeng; Temuer, Chaolu New integrable couplings of the Tu hierarchy with self-consistent sources. (Chinese. English summary) Zbl 1274.35314 Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 5, 941-949 (2012). Summary: A new isospectral problem is firstly presented, then we derive an integrable system of soliton hierarchy. Also we obtain new integrable couplings of the Tu soliton equation hierarchy with self-consistent sources associated with loop algebra \(\widetilde{sl}(4)\). In this paper, we also point out that there exist some errors in Yu’s paper and correct these errors and set up a new formula. The method can be generalized to other soliton hierarchies with self-consistent sources. Cited in 1 Document MSC: 35Q51 Soliton equations 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems Keywords:Tu hierarchy with self-consistent sources; integrable couplings; loop algebra PDFBibTeX XMLCite \textit{T. Xia} et al., Acta Math. Sci., Ser. A, Chin. Ed. 32, No. 5, 941--949 (2012; Zbl 1274.35314)