Liu, Nan Long-time asymptotics of solution to the coupled Hirota system with \(4 \times 4\) Lax pair. (English) Zbl 07725273 J. Geom. Phys. 191, Article ID 104912, 24 p. (2023). MSC: 53D99 37K40 35Q55 PDFBibTeX XMLCite \textit{N. Liu}, J. Geom. Phys. 191, Article ID 104912, 24 p. (2023; Zbl 07725273) Full Text: DOI
Liu, Nan; Lan, Zhong-Zhou; Yu, Jia-Dong Painlevé asymptotics for the coupled Sasa-Satsuma equation. (English) Zbl 1518.35522 Proc. Am. Math. Soc. 151, No. 9, 3763-3778 (2023). MSC: 35Q15 35Q55 35Q53 34B40 37K35 37K40 41A60 34M55 PDFBibTeX XMLCite \textit{N. Liu} et al., Proc. Am. Math. Soc. 151, No. 9, 3763--3778 (2023; Zbl 1518.35522) Full Text: DOI
Liu, Nan; Zhao, Xiaodan; Guo, Boling Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation. (English) Zbl 1509.35050 Physica D 443, Article ID 133560, 25 p. (2023). MSC: 35B40 35Q15 35Q53 PDFBibTeX XMLCite \textit{N. Liu} et al., Physica D 443, Article ID 133560, 25 p. (2023; Zbl 1509.35050) Full Text: DOI
Liu, Nan; Zhao, Xiaodan Long-time asymptotic behavior of the solution to the coupled Hirota equations with decaying initial data. (English) Zbl 1504.35073 Rocky Mt. J. Math. 52, No. 5, 1719-1740 (2022). MSC: 35B40 35G25 35Q15 37K40 PDFBibTeX XMLCite \textit{N. Liu} and \textit{X. Zhao}, Rocky Mt. J. Math. 52, No. 5, 1719--1740 (2022; Zbl 1504.35073) Full Text: DOI Link
Wang, Yu-Feng; Liu, Nan; Guo, Bo-Ling Long-time asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation. (English) Zbl 1489.35259 J. Math. Anal. Appl. 506, No. 1, Article ID 125560, 23 p. (2022). MSC: 35Q55 35Q41 35Q15 35B40 41A10 82D40 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., J. Math. Anal. Appl. 506, No. 1, Article ID 125560, 23 p. (2022; Zbl 1489.35259) Full Text: DOI
Liu, Nan; Guo, Boling Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane. (English) Zbl 1479.35744 Anal. Appl., Singap. 19, No. 4, 575-620 (2021). MSC: 35Q53 35Q15 35G31 35B40 37K15 37K40 PDFBibTeX XMLCite \textit{N. Liu} and \textit{B. Guo}, Anal. Appl., Singap. 19, No. 4, 575--620 (2021; Zbl 1479.35744) Full Text: DOI
Liu, Nan; Guo, Boling Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line. (English) Zbl 1464.35165 Sci. China, Math. 64, No. 1, 81-110 (2021). MSC: 35Q15 35K35 37K40 35B40 PDFBibTeX XMLCite \textit{N. Liu} and \textit{B. Guo}, Sci. China, Math. 64, No. 1, 81--110 (2021; Zbl 1464.35165) Full Text: DOI
Liu, Nan; Guo, Boling Painlevé-type asymptotics of an extended modified KdV equation in transition regions. (English) Zbl 1475.37077 J. Differ. Equations 280, 203-235 (2021). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K40 35Q53 37J65 34M55 PDFBibTeX XMLCite \textit{N. Liu} and \textit{B. Guo}, J. Differ. Equations 280, 203--235 (2021; Zbl 1475.37077) Full Text: DOI
Guo, Boling; Liu, Nan A Riemann-Hilbert approach for the modified short pulse equation. (English) Zbl 1417.35081 Appl. Anal. 98, No. 9, 1646-1659 (2019). MSC: 35Q15 35G25 35B40 35C08 78A60 PDFBibTeX XMLCite \textit{B. Guo} and \textit{N. Liu}, Appl. Anal. 98, No. 9, 1646--1659 (2019; Zbl 1417.35081) Full Text: DOI
Guo, Boling; Liu, Nan The Riemann-Hilbert problem to coupled nonlinear Schrödinger equation: long-time dynamics on the half-line. (English) Zbl 1417.35054 J. Nonlinear Math. Phys. 26, No. 3, 483-508 (2019). MSC: 35K20 37K40 35Q15 PDFBibTeX XMLCite \textit{B. Guo} and \textit{N. Liu}, J. Nonlinear Math. Phys. 26, No. 3, 483--508 (2019; Zbl 1417.35054) Full Text: DOI
Liu, Nan; Guo, Boling Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method. (English) Zbl 1407.35062 J. Math. Phys. 60, No. 1, 011504, 25 p. (2019). MSC: 35G25 35G20 35G30 35Q15 41A60 35B40 PDFBibTeX XMLCite \textit{N. Liu} and \textit{B. Guo}, J. Math. Phys. 60, No. 1, 011504, 25 p. (2019; Zbl 1407.35062) Full Text: DOI arXiv
Guo, Boling; Liu, Nan Long-time asymptotics for the Kundu-Eckhaus equation on the half-line. (English) Zbl 1398.37061 J. Math. Phys. 59, No. 6, 061505, 19 p. (2018). Reviewer: Arsen Melikyan (Brasília) MSC: 37K10 37K15 37K40 34M50 35Q15 PDFBibTeX XMLCite \textit{B. Guo} and \textit{N. Liu}, J. Math. Phys. 59, No. 6, 061505, 19 p. (2018; Zbl 1398.37061) Full Text: DOI
Guo, Boling; Liu, Nan; Wang, Yufeng Long-time asymptotics for the Hirota equation on the half-line. (English) Zbl 1393.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 174, 118-140 (2018). MSC: 35Q53 35B40 35Q15 41A60 PDFBibTeX XMLCite \textit{B. Guo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 174, 118--140 (2018; Zbl 1393.35206) Full Text: DOI arXiv
Guo, Boling; Liu, Nan; Wang, Yufeng A Riemann-Hilbert approach for a new type coupled nonlinear Schrödinger equations. (English) Zbl 1382.35176 J. Math. Anal. Appl. 459, No. 1, 145-158 (2018). MSC: 35Q15 35Q55 37K15 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Math. Anal. Appl. 459, No. 1, 145--158 (2018; Zbl 1382.35176) Full Text: DOI