Fan, Fang-Cheng; Xu, Zhi-Guo Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation. (English) Zbl 1524.35526 Wave Motion 119, Article ID 103139, 9 p. (2023). MSC: 35Q53 37K10 35Q55 35Q51 PDFBibTeX XMLCite \textit{F.-C. Fan} and \textit{Z.-G. Xu}, Wave Motion 119, Article ID 103139, 9 p. (2023; Zbl 1524.35526) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo; Shi, Shao-Yun \(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation. (English) Zbl 07505714 Rep. Math. Phys. 89, No. 1, 9-26 (2022). MSC: 37-XX 35-XX PDFBibTeX XMLCite \textit{F.-C. Fan} et al., Rep. Math. Phys. 89, No. 1, 9--26 (2022; Zbl 07505714) Full Text: DOI
Fan, Fangcheng; Shi, Shaoyun; Xu, Zhiguo Positive and negative integrable lattice hierarchies: conservation laws and \(N\)-fold Darboux transformations. (English) Zbl 1459.37064 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105453, 18 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K35 39A36 39A14 PDFBibTeX XMLCite \textit{F. Fan} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105453, 18 p. (2020; Zbl 1459.37064) Full Text: DOI
Fan, Fang-Cheng; Xu, Zhi-Guo; Shi, Shao-Yun \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation. (English) Zbl 1448.35431 Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020). MSC: 35Q51 35Q53 37K40 37K35 37K10 PDFBibTeX XMLCite \textit{F.-C. Fan} et al., Anal. Math. Phys. 10, No. 3, Paper No. 31, 21 p. (2020; Zbl 1448.35431) Full Text: DOI
Fan, Fang-Cheng; Shi, Shao-Yun; Xu, Zhi-Guo A hierarchy of integrable differential-difference equations and Darboux transformation. (English) Zbl 1441.37072 Rep. Math. Phys. 84, No. 3, 289-301 (2019). MSC: 37K10 37K35 35C08 PDFBibTeX XMLCite \textit{F.-C. Fan} et al., Rep. Math. Phys. 84, No. 3, 289--301 (2019; Zbl 1441.37072) Full Text: DOI
Fan, Fangcheng; Shi, Shaoyun; Xu, Zhiguo Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system. (English) Zbl 1428.37064 Int. J. Mod. Phys. B 33, No. 14, Article ID 1950147, 16 p. (2019). MSC: 37K10 37K06 37K35 PDFBibTeX XMLCite \textit{F. Fan} et al., Int. J. Mod. Phys. B 33, No. 14, Article ID 1950147, 16 p. (2019; Zbl 1428.37064) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Xu, Zhiguo Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system. (English) Zbl 1421.37026 Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950059, 17 p. (2019). MSC: 37J35 37J30 34A34 70H06 PDFBibTeX XMLCite \textit{K. Huang} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950059, 17 p. (2019; Zbl 1421.37026) Full Text: DOI
Xu, Zhiguo; Shi, Shaoyun; Liu, Fang Nonexistence and partial existence of first integrals for diffeomorphisms. (English) Zbl 1186.37027 Appl. Math. Lett. 23, No. 4, 399-403 (2010). MSC: 37C05 PDFBibTeX XMLCite \textit{Z. Xu} et al., Appl. Math. Lett. 23, No. 4, 399--403 (2010; Zbl 1186.37027) Full Text: DOI
Wang, Bingjie; Xu, Zhiguo Nonintegrability for diffeomorphisms. (Chinese. English summary) Zbl 1199.37028 J. Jilin Univ., Sci. 46, No. 6, 1113-1115 (2008). MSC: 37C05 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Z. Xu}, J. Jilin Univ., Sci. 46, No. 6, 1113--1115 (2008; Zbl 1199.37028)