Cao, Yulei; He, Jingsong; Cheng, Yi The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation. (English) Zbl 07808481 Physica D 458, Article ID 133990, 14 p. (2024). MSC: 35Q53 35C08 37K10 15A15 76B25 PDFBibTeX XMLCite \textit{Y. Cao} et al., Physica D 458, Article ID 133990, 14 p. (2024; Zbl 07808481) Full Text: DOI
Zhang, Yongshuai; Wang, Nan; Qiu, Deqin; He, Jingsong Explicit solitons of Kundu equation derived by Riemann-Hilbert problem. (English) Zbl 1515.81131 Phys. Lett., A 452, Article ID 128476, 9 p. (2022). MSC: 81Q80 35C08 35Q15 35Q55 78A60 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Phys. Lett., A 452, Article ID 128476, 9 p. (2022; Zbl 1515.81131) Full Text: DOI
Cao, Yulei; Cheng, Yi; He, Jingsong; Chen, Yiren High-order breather, \(M\)-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation. (English) Zbl 1521.35152 Commun. Theor. Phys. 73, No. 3, Article ID 035004, 8 p. (2021). MSC: 35Q51 35K10 35K40 35C08 PDFBibTeX XMLCite \textit{Y. Cao} et al., Commun. Theor. Phys. 73, No. 3, Article ID 035004, 8 p. (2021; Zbl 1521.35152) Full Text: DOI
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru Doubly localized rogue waves on a background of dark solitons for the Fokas system. (English) Zbl 1475.35109 Appl. Math. Lett. 121, Article ID 107435, 7 p. (2021). MSC: 35C08 35Q55 PDFBibTeX XMLCite \textit{J. Rao} et al., Appl. Math. Lett. 121, Article ID 107435, 7 p. (2021; Zbl 1475.35109) Full Text: DOI
Jiang, Ying; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system. (English) Zbl 1476.35224 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105943, 15 p. (2021). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105943, 15 p. (2021; Zbl 1476.35224) Full Text: DOI
Cao, Yulei; He, Jingsong; Cheng, Yi; Mihalache, Dumitru Reduction in the \((4+1)\)-dimensional Fokas equation and their solutions. (English) Zbl 1434.37040 Nonlinear Dyn. 99, No. 4, 3013-3028 (2020). MSC: 37K10 35C08 35B06 PDFBibTeX XMLCite \textit{Y. Cao} et al., Nonlinear Dyn. 99, No. 4, 3013--3028 (2020; Zbl 1434.37040) Full Text: DOI arXiv
Rao, Jiguang; Mihalache, Dumitru; Cheng, Yi; He, Jingsong Lump-soliton solutions to the Fokas system. (English) Zbl 1475.35110 Phys. Lett., A 383, No. 11, 1138-1142 (2019). MSC: 35C08 35C20 PDFBibTeX XMLCite \textit{J. Rao} et al., Phys. Lett., A 383, No. 11, 1138--1142 (2019; Zbl 1475.35110) Full Text: DOI
Chen, Ting-Ting; Hu, Peng-Yan; He, Jing-Song General higher-order breather and hybrid solutions of the Fokas system. (English) Zbl 1452.35182 Commun. Theor. Phys. 71, No. 5, 496-508 (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{T.-T. Chen} et al., Commun. Theor. Phys. 71, No. 5, 496--508 (2019; Zbl 1452.35182) Full Text: DOI
Qiu, Ying-Yang; He, Jing-Song; Li, Mao-Hua Degenerate solutions of the nonlinear self-dual network equation. (English) Zbl 1452.35175 Commun. Theor. Phys. 71, No. 1, 1-8 (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y.-Y. Qiu} et al., Commun. Theor. Phys. 71, No. 1, 1--8 (2019; Zbl 1452.35175) Full Text: DOI
Liu, Yaobin; Qian, Chao; Mihalache, Dumitru; He, Jingsong Rogue waves and hybrid solutions of the Davey-Stewartson I equation. (English) Zbl 1439.35119 Nonlinear Dyn. 95, No. 1, 839-857 (2019). MSC: 35C07 37K10 PDFBibTeX XMLCite \textit{Y. Liu} et al., Nonlinear Dyn. 95, No. 1, 839--857 (2019; Zbl 1439.35119) Full Text: DOI
Zhang, Yongshuai; Rao, Jiguang; Porsezian, K.; He, Jingsong Rational and semi-rational solutions of the Kadomtsev-Petviashvili-based system. (English) Zbl 1439.35421 Nonlinear Dyn. 95, No. 2, 1133-1146 (2019). MSC: 35Q51 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Nonlinear Dyn. 95, No. 2, 1133--1146 (2019; Zbl 1439.35421) Full Text: DOI
Song, Wenjuan; Xu, Shuwei; Li, Maohua; He, Jingsong Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation. (English) Zbl 1430.35212 Nonlinear Dyn. 97, No. 4, 2135-2145 (2019). MSC: 35Q55 37K35 37K40 35C08 PDFBibTeX XMLCite \textit{W. Song} et al., Nonlinear Dyn. 97, No. 4, 2135--2145 (2019; Zbl 1430.35212) Full Text: DOI arXiv
Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. (English) Zbl 1402.35070 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2209, Article ID 20170627, 20 p. (2018). MSC: 35C08 35Q53 35Q55 PDFBibTeX XMLCite \textit{J. Rao} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2209, Article ID 20170627, 20 p. (2018; Zbl 1402.35070) Full Text: DOI
Rao, Jiguang; Zhang, Yongshuai; Fokas, Athanassios S.; He, Jingsong Rogue waves of the nonlocal Davey-Stewartson I equation. (English) Zbl 1398.35192 Nonlinearity 31, No. 9, 4090-4107 (2018). MSC: 35Q51 35Q55 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{J. Rao} et al., Nonlinearity 31, No. 9, 4090--4107 (2018; Zbl 1398.35192) Full Text: DOI
Liu, Yaobin; Mihalache, Dumitru; He, Jingsong Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation. (English) Zbl 1393.37080 Nonlinear Dyn. 90, No. 4, 2445-2455 (2017). MSC: 37K10 35C08 PDFBibTeX XMLCite \textit{Y. Liu} et al., Nonlinear Dyn. 90, No. 4, 2445--2455 (2017; Zbl 1393.37080) Full Text: DOI
Xing, Qiuxia; Wang, Lihong; Mihalache, Dumitru; Porsezian, Kuppuswamy; He, Jingsong Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions. (English) Zbl 1390.35313 Chaos 27, No. 5, 053102, 14 p. (2017). MSC: 35Q53 35C08 35B10 35P99 PDFBibTeX XMLCite \textit{Q. Xing} et al., Chaos 27, No. 5, 053102, 14 p. (2017; Zbl 1390.35313) Full Text: DOI arXiv
Wang, Lihong; Yang, Chenghao; Wang, Ji; He, Jingsong The height of an \(n\)th-order fundamental rogue wave for the nonlinear Schrödinger equation. (English) Zbl 1374.35390 Phys. Lett., A 381, No. 20, 1714-1718 (2017). MSC: 35Q55 35C08 74J35 PDFBibTeX XMLCite \textit{L. Wang} et al., Phys. Lett., A 381, No. 20, 1714--1718 (2017; Zbl 1374.35390) Full Text: DOI arXiv
Zhang, Yu; Li, Chuanzhong; He, Jingsong Rogue waves in a resonant erbium-doped fiber system with higher-order effects. (English) Zbl 1410.78013 Appl. Math. Comput. 273, 826-841 (2016). MSC: 78A40 35A30 35Q55 37K40 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 273, 826--841 (2016; Zbl 1410.78013) Full Text: DOI arXiv
Li, Chuanzhong; He, Jingsong Supersymmetric BKP systems and their symmetries. (English) Zbl 1331.37091 Nucl. Phys., B 896, 716-737 (2015). MSC: 37K10 81Q60 37K30 17C90 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. He}, Nucl. Phys., B 896, 716--737 (2015; Zbl 1331.37091) Full Text: DOI arXiv
Zhang, Chengchuang; Li, Chuanzhong; He, Jingsong Darboux transformation and rogue waves of the Kundu-nonlinear Schrödinger equation. (English) Zbl 1317.35010 Math. Methods Appl. Sci. 38, No. 11, 2411-2425 (2015). MSC: 35C08 35Q53 37K40 35Q55 PDFBibTeX XMLCite \textit{C. Zhang} et al., Math. Methods Appl. Sci. 38, No. 11, 2411--2425 (2015; Zbl 1317.35010) Full Text: DOI
He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J. Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. (English) Zbl 1331.81100 Phys. Lett., A 378, No. 5-6, 577-583 (2014). MSC: 81Q05 82C10 35Q55 35C08 PDFBibTeX XMLCite \textit{J. S. He} et al., Phys. Lett., A 378, No. 5--6, 577--583 (2014; Zbl 1331.81100) Full Text: DOI arXiv
Cheng, Jipeng; He, Jingsong The “ghost” symmetry in the CKP hierarchy. (English) Zbl 1292.35262 J. Geom. Phys. 80, 49-57 (2014). MSC: 35Q53 37K10 37K40 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{J. He}, J. Geom. Phys. 80, 49--57 (2014; Zbl 1292.35262) Full Text: DOI arXiv
He, J. S.; Tao, Y. S.; Porsezian, K.; Fokas, A. S. Rogue wave management in an inhomogeneous nonlinear fibre with higher order effects. (English) Zbl 1420.35357 J. Nonlinear Math. Phys. 20, No. 3, 407-419 (2013). MSC: 35Q55 35Q60 37K40 PDFBibTeX XMLCite \textit{J. S. He} et al., J. Nonlinear Math. Phys. 20, No. 3, 407--419 (2013; Zbl 1420.35357) Full Text: DOI
Shan, Shibao; Li, Chuanzhong; He, Jingsong On rogue wave in the Kundu-DNLS equation. (English) Zbl 1344.35139 Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3337-3349 (2013). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{S. Shan} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3337--3349 (2013; Zbl 1344.35139) Full Text: DOI arXiv
Han, Jingwei; Yu, Jing; He, Jingsong A matrix Lie superalgebra and its applications. (English) Zbl 1292.81064 Adv. Math. Phys. 2013, Article ID 416520, 10 p. (2013). MSC: 81Q60 81Q05 17A70 PDFBibTeX XMLCite \textit{J. Han} et al., Adv. Math. Phys. 2013, Article ID 416520, 10 p. (2013; Zbl 1292.81064) Full Text: DOI
Ye, Yichao; Wang, Lihong; Chang, Zhaowei; He, Jingsong An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation. (English) Zbl 1416.65385 Appl. Math. Comput. 218, No. 5, 2200-2209 (2011). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{Y. Ye} et al., Appl. Math. Comput. 218, No. 5, 2200--2209 (2011; Zbl 1416.65385) Full Text: DOI arXiv
He, Jingsong; Zhang, Ling; Cheng, Yi; Li, Yishen Determinant representation of Darboux transformation for the AKNS system. (English) Zbl 1110.35302 Sci. China, Ser. A 49, No. 12, 1867-1878 (2006). MSC: 35A22 35Q55 35Q51 PDFBibTeX XMLCite \textit{J. He} et al., Sci. China, Ser. A 49, No. 12, 1867--1878 (2006; Zbl 1110.35302) Full Text: DOI