Zhang, Guoqiang; Yan, Zhenya The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. (English) Zbl 1404.35375 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2215, Article ID 20170688, 20 p. (2018). MSC: 35Q35 35C08 37K40 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{Z. Yan}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2215, Article ID 20170688, 20 p. (2018; Zbl 1404.35375) Full Text: DOI
Yan, Zhenya A new hierarchy of Lax and Liouville integrable evolution equations associated with an isospectral problem in the loop algebra \(\tilde A _{2}\). (English) Zbl 1130.37388 J. Syst. Sci. Complex. 19, No. 3, 301-306 (2006). MSC: 37J35 37K10 93B25 37K15 37K30 PDFBibTeX XMLCite \textit{Z. Yan}, J. Syst. Sci. Complex. 19, No. 3, 301--306 (2006; Zbl 1130.37388) Full Text: DOI
Yan, Zhenya Two types of hierarchies of evolution equations associated with the extended Kaup-Newell spectral problem with an arbitrary smooth function. (English) Zbl 1038.37057 Chaos Solitons Fractals 15, No. 4, 639-645 (2003). MSC: 37K10 37K15 PDFBibTeX XMLCite \textit{Z. Yan}, Chaos Solitons Fractals 15, No. 4, 639--645 (2003; Zbl 1038.37057) Full Text: DOI
Yan, Zhengya; Zhang, Hongqing New hierarchy of coupled mKdV equations and its Liouville integrable infinite dimensional Hamiltonian structure. (Chinese. English summary) Zbl 1016.37038 Math. Appl. 13, No. 2, 37-40 (2000). MSC: 37K10 35Q53 35Q51 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{H. Zhang}, Math. Appl. 13, No. 2, 37--40 (2000; Zbl 1016.37038)
Yan, Zhenya; Zhang, Hongqing Lax representation, classical Poisson structures, \(r\)-matrices and Liouville integrability for constrained flows of Guo hierarchy. (Chinese. English summary) Zbl 1016.37037 Math. Appl. 13, No. 1, 56-60 (2000). MSC: 37K10 35Q51 37K40 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{H. Zhang}, Math. Appl. 13, No. 1, 56--60 (2000; Zbl 1016.37037)
Yan, Zhenya; Zhang, Hongqing A new hierarchy of Lax integrable and Liouville integrable generalized Hamiltonian equations. (Chinese. English summary) Zbl 1017.70010 J. Dalian Univ. Technol. 40, No. 6, 649-652 (2000). MSC: 37K10 35Q58 70H06 70H05 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{H. Zhang}, J. Dalian Univ. Technol. 40, No. 6, 649--652 (2000; Zbl 1017.70010)
Yan, Zhenya; Zhang, Hongqing New Liouville completely integrable hierarchy of generalized Burgers equations and its Hamiltonian structure. (Chinese. English summary) Zbl 1005.37041 Math. Appl. 12, No. 4, 41-44 (1999). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{H. Zhang}, Math. Appl. 12, No. 4, 41--44 (1999; Zbl 1005.37041)