Geng, Xianguo; Wang, Jia; Wang, Kedong; Li, Ruomeng Soliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regions. (English) Zbl 07801715 J. Differ. Equations 386, 214-268 (2024). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q51 35Q15 37K15 35C08 35C20 35B40 78A60 30E15 41A60 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Differ. Equations 386, 214--268 (2024; Zbl 07801715) Full Text: DOI
Liu, Wenhao; Geng, Xianguo; Wang, Kedong; Chen, Mingming Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data. (English) Zbl 1512.35423 J. Differ. Equations 357, 181-235 (2023). MSC: 35Q15 35Q53 35B40 41A60 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Differ. Equations 357, 181--235 (2023; Zbl 1512.35423) Full Text: DOI
Geng, Xianguo; Liu, Wenhao; Wang, Kedong; Chen, Mingming Long-time asymptotics for the complex nonlinear transverse oscillation equation. (English) Zbl 1507.35131 Anal. Appl., Singap. 21, No. 2, 497-533 (2023). MSC: 35Q15 35Q74 74K10 74Q10 74B20 41A60 35B05 35B40 PDFBibTeX XMLCite \textit{X. Geng} et al., Anal. Appl., Singap. 21, No. 2, 497--533 (2023; Zbl 1507.35131) Full Text: DOI
Geng, Xianguo; Wang, Kedong; Chen, Mingming The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. (English) Zbl 1506.35015 IMA J. Appl. Math. 87, No. 5, 852-905 (2022). MSC: 35B40 35Q55 37K15 PDFBibTeX XMLCite \textit{X. Geng} et al., IMA J. Appl. Math. 87, No. 5, 852--905 (2022; Zbl 1506.35015) Full Text: DOI
Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. (English) Zbl 1503.35206 Acta Math. Sin., Engl. Ser. 38, No. 11, 2090-2114 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{M. M. Chen} et al., Acta Math. Sin., Engl. Ser. 38, No. 11, 2090--2114 (2022; Zbl 1503.35206) Full Text: DOI
Chen, Mingming; Geng, Xianguo; Wang, Kedong; Xue, Bo Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367 Commun. Pure Appl. Anal. 21, No. 9, 3171-3191 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 21, No. 9, 3171--3191 (2022; Zbl 1501.35367) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng Spectral analysis and long-time asymptotics of a coupled nonlinear Schrödinger system. (English) Zbl 1498.35517 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2071-2106 (2022). MSC: 35Q55 35B40 35Q53 35Q15 35P99 41A60 PDFBibTeX XMLCite \textit{K. Wang} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2071--2106 (2022; Zbl 1498.35517) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation. (English) Zbl 1501.35277 Physica D 439, Article ID 133383, 27 p. (2022). MSC: 35Q15 35B40 35B09 35C08 41A60 35P30 45D05 PDFBibTeX XMLCite \textit{K. Wang} et al., Physica D 439, Article ID 133383, 27 p. (2022; Zbl 1501.35277) Full Text: DOI
Chen, Mingming; Geng, Xianguo; Wang, Kedong Long-time asymptotics for the modified complex short pulse equation. (English) Zbl 1494.35032 Discrete Contin. Dyn. Syst. 42, No. 9, 4439-4470 (2022). MSC: 35B40 35Q15 35Q51 PDFBibTeX XMLCite \textit{M. Chen} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4439--4470 (2022; Zbl 1494.35032) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Xue, Bo Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. (English) Zbl 1489.35176 Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022). MSC: 35Q15 35B40 35Q55 41A60 PDFBibTeX XMLCite \textit{K. Wang} et al., Anal. Math. Phys. 12, No. 3, Paper No. 71, 33 p. (2022; Zbl 1489.35176) Full Text: DOI
Chen, Mingming; Geng, Xianguo; Wang, Kedong Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. (English) Zbl 1470.37093 J. Math. Anal. Appl. 501, No. 2, Article ID 125170, 27 p. (2021). MSC: 37K40 37K35 35B40 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Math. Anal. Appl. 501, No. 2, Article ID 125170, 27 p. (2021; Zbl 1470.37093) Full Text: DOI
Geng, Xianguo; Chen, Mingming; Wang, Kedong Application of the nonlinear steepest descent method to the coupled Sasa-Satsuma equation. (English) Zbl 1467.35281 East Asian J. Appl. Math. 11, No. 1, 181-206 (2021). MSC: 35Q53 35Q55 35B40 41A60 PDFBibTeX XMLCite \textit{X. Geng} et al., East Asian J. Appl. Math. 11, No. 1, 181--206 (2021; Zbl 1467.35281) Full Text: DOI
Geng, Xianguo; Wang, Kedong; Chen, Mingming Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. (English) Zbl 1466.35326 Commun. Math. Phys. 382, No. 1, 585-611 (2021). MSC: 35Q55 35Q15 35A22 35P25 35B40 35C20 30E25 PDFBibTeX XMLCite \textit{X. Geng} et al., Commun. Math. Phys. 382, No. 1, 585--611 (2021; Zbl 1466.35326) Full Text: DOI
Wang, Kedong; Chen, Mingming; Li, Ruomeng; Geng, Xianguo An integrable generalized Korteweg-de Vries equation with pseudo-peakons. (English) Zbl 1462.35342 Appl. Math. Lett. 115, Article ID 106942, 9 p. (2021). MSC: 35Q53 35C08 35B07 35B09 37K10 PDFBibTeX XMLCite \textit{K. Wang} et al., Appl. Math. Lett. 115, Article ID 106942, 9 p. (2021; Zbl 1462.35342) Full Text: DOI
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng Long-time asymptotics for the generalized Sasa-Satsuma equation. (English) Zbl 1484.35340 AIMS Math. 5, No. 6, 7413-7437 (2020). MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{K. Wang} et al., AIMS Math. 5, No. 6, 7413--7437 (2020; Zbl 1484.35340) Full Text: DOI
Geng, Xianguo; Chen, Mingming; Wang, Kedong Long-time asymptotics of the coupled modified Korteweg-de Vries equation. (English) Zbl 1420.35313 J. Geom. Phys. 142, 151-167 (2019). MSC: 35Q53 35B40 37K15 35Q15 41A60 65J15 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Geom. Phys. 142, 151--167 (2019; Zbl 1420.35313) Full Text: DOI