Guo, Lijuan; Wang, Lihong; Chen, Lei; He, Jingsong Dynamics of the rogue lump in the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 07778792 Stud. Appl. Math. 151, No. 1, 35-59 (2023). MSC: 35Q35 35Q86 76B25 76Q05 86A05 35C08 37K15 PDFBibTeX XMLCite \textit{L. Guo} et al., Stud. Appl. Math. 151, No. 1, 35--59 (2023; Zbl 07778792) Full Text: DOI
Rao, Jiguang; Kanna, T.; He, Jingsong Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type. (English) Zbl 1527.35391 Physica D 456, Article ID 133922, 18 p. (2023). MSC: 35Q55 35C08 35Q35 81Q05 PDFBibTeX XMLCite \textit{J. Rao} et al., Physica D 456, Article ID 133922, 18 p. (2023; Zbl 1527.35391) Full Text: DOI
Rao, Jiguang; Malomed, Boris A.; Mihalache, Dumitru; He, Jingsong General higher – order breathers and rogue waves in the two-component long-wave-short-wave resonance interaction model. (English) Zbl 07778749 Stud. Appl. Math. 149, No. 4, 843-878 (2022). MSC: 35C08 35Q51 PDFBibTeX XMLCite \textit{J. Rao} et al., Stud. Appl. Math. 149, No. 4, 843--878 (2022; Zbl 07778749) Full Text: DOI arXiv
Rao, Jiguang; Kanna, T.; Mihalache, Dumitru; He, Jingsong Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems. (English) Zbl 1502.70034 Physica D 439, Article ID 133281, 13 p. (2022). MSC: 70F16 70K44 37C29 PDFBibTeX XMLCite \textit{J. Rao} et al., Physica D 439, Article ID 133281, 13 p. (2022; Zbl 1502.70034) Full Text: DOI
Rao, Jiguang; He, Jingsong; Cheng, Yi The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant. (English) Zbl 1492.35283 Lett. Math. Phys. 112, No. 4, Paper No. 75, 25 p. (2022). MSC: 35Q53 37K06 PDFBibTeX XMLCite \textit{J. Rao} et al., Lett. Math. Phys. 112, No. 4, Paper No. 75, 25 p. (2022; Zbl 1492.35283) Full Text: DOI
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 1489.35257 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Q55 35Q35 86A05 35C08 37N10 PDFBibTeX XMLCite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 1489.35257) Full Text: DOI
Guo, Lijuan; He, Jingsong; Mihalache, Dumitru Rational and semi-rational solutions to the asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1519.35270 J. Phys. A, Math. Theor. 54, No. 9, Article ID 095703, 22 p. (2021). MSC: 35Q53 35Q55 35C08 PDFBibTeX XMLCite \textit{L. Guo} et al., J. Phys. A, Math. Theor. 54, No. 9, Article ID 095703, 22 p. (2021; Zbl 1519.35270) Full Text: DOI
Guo, Lijuan; Chabchoub, Amin; He, Jingsong Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. (English) Zbl 1484.35124 Physica D 426, Article ID 132990, 10 p. (2021). MSC: 35C08 35Q53 35Q35 PDFBibTeX XMLCite \textit{L. Guo} et al., Physica D 426, Article ID 132990, 10 p. (2021; Zbl 1484.35124) Full Text: DOI
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system. (English) Zbl 1524.35509 Wave Motion 101, Article ID 102685, 18 p. (2021). MSC: 35Q51 37K40 PDFBibTeX XMLCite \textit{J. Rao} et al., Wave Motion 101, Article ID 102685, 18 p. (2021; Zbl 1524.35509) 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
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. (English) Zbl 1472.35089 J. Nonlinear Sci. 31, No. 4, Paper No. 67, 44 p. (2021). MSC: 35C08 35C11 35F10 35Q55 PDFBibTeX XMLCite \textit{J. Rao} et al., J. Nonlinear Sci. 31, No. 4, Paper No. 67, 44 p. (2021; Zbl 1472.35089) 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
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation. (English) Zbl 1466.35332 Z. Angew. Math. Phys. 72, No. 2, Paper No. 65, 27 p. (2021). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35F10 35C08 35B10 PDFBibTeX XMLCite \textit{J. Rao} et al., Z. Angew. Math. Phys. 72, No. 2, Paper No. 65, 27 p. (2021; Zbl 1466.35332) Full Text: DOI
Guo, Jutong; He, Jingsong; Li, Maohua; Mihalache, Dumitru Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation. (English) Zbl 1524.35535 Math. Comput. Simul. 180, 251-257 (2021). MSC: 35Q53 76B15 86A05 PDFBibTeX XMLCite \textit{J. Guo} et al., Math. Comput. Simul. 180, 251--257 (2021; Zbl 1524.35535) Full Text: DOI
Lin, Huian; He, Jingsong; Wang, Lihong; Mihalache, Dumitru Several categories of exact solutions of the third-order flow equation of the Kaup-Newell system. (English) Zbl 1516.37082 Nonlinear Dyn. 100, No. 3, 2839-2858 (2020). MSC: 37K10 37K40 37K35 35C08 35Q51 PDFBibTeX XMLCite \textit{H. Lin} et al., Nonlinear Dyn. 100, No. 3, 2839--2858 (2020; Zbl 1516.37082) Full Text: DOI
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. (English) Zbl 1453.37068 Physica D 401, Article ID 132180, 28 p. (2020). MSC: 37K40 37K10 35C08 PDFBibTeX XMLCite \textit{J. Rao} et al., Physica D 401, Article ID 132180, 28 p. (2020; Zbl 1453.37068) 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
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation. (English) Zbl 1510.35300 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104915, 20 p. (2019). MSC: 35Q55 78A60 35C08 37K35 82D10 PDFBibTeX XMLCite \textit{L. Guo} et al., Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104915, 20 p. (2019; Zbl 1510.35300) 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
Xu, Shuwei; He, Jingsong; Mihalache, Dumitru Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation. (English) Zbl 1430.35215 Nonlinear Dyn. 97, No. 4, 2443-2452 (2019). MSC: 35Q55 35C07 37K55 37K35 PDFBibTeX XMLCite \textit{S. Xu} et al., Nonlinear Dyn. 97, No. 4, 2443--2452 (2019; Zbl 1430.35215) Full Text: DOI
Qian, Chao; Rao, Jiguang; Mihalache, Dumitru; He, Jingsong Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation. (English) Zbl 1409.81044 Comput. Math. Appl. 75, No. 9, 3317-3330 (2018). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{C. Qian} et al., Comput. Math. Appl. 75, No. 9, 3317--3330 (2018; Zbl 1409.81044) Full Text: DOI
Zhang, Yongshuai; Qiu, Deqin; Mihalache, Dumitru; He, Jingsong The loop rogue wave solutions for the Wadati-Konno-Ichikawa equation. (English) Zbl 1459.35337 Chaos 28, No. 10, 103108, 7 p. (2018). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Chaos 28, No. 10, 103108, 7 p. (2018; Zbl 1459.35337) Full Text: DOI
Guo, Lijuan; Wang, Lihong; Cheng, Yi; He, Jingsong High-order rogue wave solutions of the classical massive Thirring model equations. (English) Zbl 1510.35177 Commun. Nonlinear Sci. Numer. Simul. 52, 11-23 (2017). MSC: 35L25 78A40 PDFBibTeX XMLCite \textit{L. Guo} et al., Commun. Nonlinear Sci. Numer. Simul. 52, 11--23 (2017; Zbl 1510.35177) 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
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