Lei, Ling; Tian, Shou-Fu; Wu, Yan-Qiang Multi-soliton solutions for the nonlocal Kundu-nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1529.35432 J. Nonlinear Math. Phys. 30, No. 4, 1661-1679 (2023). MSC: 35Q51 35C08 PDFBibTeX XMLCite \textit{L. Lei} et al., J. Nonlinear Math. Phys. 30, No. 4, 1661--1679 (2023; Zbl 1529.35432) Full Text: DOI OA License
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data. (English) Zbl 1527.35386 Physica D 456, Article ID 133915, 32 p. (2023). MSC: 35Q55 35Q41 35Q15 35B40 37K10 41A60 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., Physica D 456, Article ID 133915, 32 p. (2023; Zbl 1527.35386) Full Text: DOI
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data. (English) Zbl 1527.35194 J. Differ. Equations 377, 121-187 (2023). MSC: 35Q15 35Q51 35Q55 35Q41 35Q35 35C20 35C08 35B40 35B35 35A01 35A02 37K10 41A60 78A60 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., J. Differ. Equations 377, 121--187 (2023; Zbl 1527.35194) Full Text: DOI
Wu, Xin; Tian, Shou-Fu On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: without solitons. (English) Zbl 1514.35057 Physica D 448, Article ID 133733, 20 p. (2023). MSC: 35B40 35R09 35Q15 35Q55 PDFBibTeX XMLCite \textit{X. Wu} and \textit{S.-F. Tian}, Physica D 448, Article ID 133733, 20 p. (2023; Zbl 1514.35057) Full Text: DOI
Li, Yuan; Tian, Shou-Fu; Yang, Jin-Jie Riemann-Hilbert problem and interactions of solitons in the \(n\)-component nonlinear Schrödinger equations. (English) Zbl 1529.35318 Stud. Appl. Math. 148, No. 2, 577-605 (2022). MSC: 35Q15 35Q55 35Q41 35C08 37K15 37K35 78A60 PDFBibTeX XMLCite \textit{Y. Li} et al., Stud. Appl. Math. 148, No. 2, 577--605 (2022; Zbl 1529.35318) Full Text: DOI
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the soliton resolution and the asymptotic stability of \(N\)-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions. (English) Zbl 1498.35376 Adv. Math. 409, Part A, Article ID 108639, 65 p. (2022). MSC: 35Q15 35Q51 35Q55 37K40 35B40 35C08 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., Adv. Math. 409, Part A, Article ID 108639, 65 p. (2022; Zbl 1498.35376) Full Text: DOI arXiv
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. (English) Zbl 1487.35272 Physica D 432, Article ID 133162, 12 p. (2022). MSC: 35Q15 35Q55 35Q41 35C08 PDFBibTeX XMLCite \textit{J.-J. Yang} et al., Physica D 432, Article ID 133162, 12 p. (2022; Zbl 1487.35272) Full Text: DOI arXiv
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie; Wang, Xiao-Li Riemann-Hilbert approach and soliton solutions of the higher-order dispersive nonlinear Schrödinger equations with single and double poles. (English) Zbl 1479.35211 East Asian J. Appl. Math. 11, No. 2, 369-388 (2021). MSC: 35C08 35P25 35Q15 35Q51 35Q55 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., East Asian J. Appl. Math. 11, No. 2, 369--388 (2021; Zbl 1479.35211) Full Text: DOI
Wang, Zi-Yi; Tian, Shou-Fu; Zhang, Xiao-Fan Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with \(N\) distinct arbitrary-order poles. (English. Russian original) Zbl 1467.81041 Theor. Math. Phys. 207, No. 1, 415-433 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 23-43 (2021). MSC: 81Q05 35Q55 35G30 35Q15 35C08 PDFBibTeX XMLCite \textit{Z.-Y. Wang} et al., Theor. Math. Phys. 207, No. 1, 415--433 (2021; Zbl 1467.81041); translation from Teor. Mat. Fiz. 207, No. 1, 23--43 (2021) Full Text: DOI
Yang, Jin-jie; Tian, Shou-fu; Peng, Wei-qi; Zhang, Tian-tian The \(N\)-coupled higher-order nonlinear Schrödinger equation: Riemann-Hilbert problem and multi-soliton solutions. (English) Zbl 1447.35109 Math. Methods Appl. Sci. 43, No. 5, 2458-2472 (2020). MSC: 35C08 35Q51 35Q55 35Q15 PDFBibTeX XMLCite \textit{J.-j. Yang} et al., Math. Methods Appl. Sci. 43, No. 5, 2458--2472 (2020; Zbl 1447.35109) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zhang, Tian-Tian Initial value problem for the pair transition coupled nonlinear Schrödinger equations via the Riemann-Hilbert method. (English) Zbl 1446.35186 Complex Anal. Oper. Theory 14, No. 3, Paper No. 38, 15 p. (2020). MSC: 35Q55 35Q15 35C08 35A02 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Complex Anal. Oper. Theory 14, No. 3, Paper No. 38, 15 p. (2020; Zbl 1446.35186) Full Text: DOI
Tian, Shou-Fu; Zhang, Tian-Tian Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition. (English) Zbl 1427.35259 Proc. Am. Math. Soc. 146, No. 4, 1713-1729 (2018). MSC: 35Q55 35P30 35B10 35B40 35Q15 81Q05 PDFBibTeX XMLCite \textit{S.-F. Tian} and \textit{T.-T. Zhang}, Proc. Am. Math. Soc. 146, No. 4, 1713--1729 (2018; Zbl 1427.35259) Full Text: DOI
Tian, Shou-Fu Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method. (English) Zbl 1432.35194 J. Differ. Equations 262, No. 1, 506-558 (2017). MSC: 35Q55 35A22 35P25 35Q15 35Q51 35R30 PDFBibTeX XMLCite \textit{S.-F. Tian}, J. Differ. Equations 262, No. 1, 506--558 (2017; Zbl 1432.35194) Full Text: DOI