Tang, Wang; Yu, Guo-Fu; Shen, Shou-Feng Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation. (English) Zbl 07825036 Wave Motion 124, Article ID 103234, 17 p. (2024). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{W. Tang} et al., Wave Motion 124, Article ID 103234, 17 p. (2024; Zbl 07825036) Full Text: DOI
Niu, Jia-Xue; Guo, Rui; Zhang, Jian-Wen Solutions on the periodic background and transition state mechanisms for the higher-order Chen-Lee-Liu equation. (English) Zbl 07825035 Wave Motion 123, Article ID 103233, 21 p. (2023). MSC: 35-XX 78-XX PDFBibTeX XMLCite \textit{J.-X. Niu} et al., Wave Motion 123, Article ID 103233, 21 p. (2023; Zbl 07825035) Full Text: DOI
Zhen, Yanpei Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects. (English) Zbl 07825020 Wave Motion 123, Article ID 103209, 8 p. (2023). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhen}, Wave Motion 123, Article ID 103209, 8 p. (2023; Zbl 07825020) Full Text: DOI
Ma, Liyuan; Song, Haifang; Zhang, Yanli; Shen, Shoufeng Continuum limits for rational, breather solutions, and gauge equivalent model of the generalized discrete nonlinear Schrödinger equation. (English) Zbl 07815985 Math. Methods Appl. Sci. 46, No. 17, 17980-17995 (2023). MSC: 35Q51 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{L. Ma} et al., Math. Methods Appl. Sci. 46, No. 17, 17980--17995 (2023; Zbl 07815985) Full Text: DOI
Xie, Wei-Kang; Fan, Fang-Cheng Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation. (English) Zbl 1522.35435 Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023). MSC: 35Q51 35Q53 35Q55 35C08 37K40 37K10 82D40 PDFBibTeX XMLCite \textit{W.-K. Xie} and \textit{F.-C. Fan}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 182, 14 p. (2023; Zbl 1522.35435) Full Text: DOI
Liu, Rui; Zhang, Hai-Qiang; Wei, Yun-Chun; Zhang, Yan Multi-breather and high-order rogue waves for the quintic nonlinear Schrödinger equation on the elliptic function background. (English) Zbl 1524.35593 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023). MSC: 35Q55 PDFBibTeX XMLCite \textit{R. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107314, 20 p. (2023; Zbl 1524.35593) Full Text: DOI
Sun, Hai-Ying; Zhaqilao Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background. (English) Zbl 1524.35554 Wave Motion 116, Article ID 103073, 11 p. (2023). MSC: 35Q53 35Q55 35C08 76B15 37K10 PDFBibTeX XMLCite \textit{H.-Y. Sun} and \textit{Zhaqilao}, Wave Motion 116, Article ID 103073, 11 p. (2023; Zbl 1524.35554) Full Text: DOI
Guo, Jia-Huan; Guo, Rui Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations. (English) Zbl 1504.35479 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106940, 15 p. (2023). MSC: 35Q55 35Q41 35Q51 37K10 37K35 35C08 35G31 PDFBibTeX XMLCite \textit{J.-H. Guo} and \textit{R. Guo}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106940, 15 p. (2023; Zbl 1504.35479) Full Text: DOI
Shi, Wei; Zhaqilao Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background. (English) Zbl 1514.35412 Commun. Theor. Phys. 74, No. 5, Article ID 055001, 9 p. (2022). MSC: 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{W. Shi} and \textit{Zhaqilao}, Commun. Theor. Phys. 74, No. 5, Article ID 055001, 9 p. (2022; Zbl 1514.35412) Full Text: DOI
Wu, Xi-Hu; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Li, Liu-Qing Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1506.35193 Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022). MSC: 35Q51 35A30 37K35 PDFBibTeX XMLCite \textit{X.-H. Wu} et al., Chaos Solitons Fractals 162, Article ID 112399, 10 p. (2022; Zbl 1506.35193) Full Text: DOI
Feng, Bao-Feng; Shi, Changyan; Zhang, Guangxiong; Wu, Chengfa Higher-order rogue wave solutions of the Sasa-Satsuma equation. (English) Zbl 1507.37093 J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., J. Phys. A, Math. Theor. 55, No. 23, Article ID 235701, 24 p. (2022; Zbl 1507.37093) Full Text: DOI
Zhang, Yan; Hao, Hui-Qin; Guo, Rui Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1511.35015 Phys. Lett., A 450, Article ID 128369, 19 p. (2022). MSC: 35B10 33E05 35Q55 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Phys. Lett., A 450, Article ID 128369, 19 p. (2022; Zbl 1511.35015) Full Text: DOI
Singh, Sudhir; Sakkaravarthi, K.; Murugesan, K. Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves. (English) Zbl 1498.35482 Chaos Solitons Fractals 155, Article ID 111652, 9 p. (2022). MSC: 35Q53 PDFBibTeX XMLCite \textit{S. Singh} et al., Chaos Solitons Fractals 155, Article ID 111652, 9 p. (2022; Zbl 1498.35482) Full Text: DOI arXiv
Lou, Yu; Zhang, Yi Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms. (English) Zbl 07529431 Math. Comput. Simul. 197, 22-31 (2022). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{Y. Lou} and \textit{Y. Zhang}, Math. Comput. Simul. 197, 22--31 (2022; Zbl 07529431) Full Text: DOI
Wu, Qing-Lin; Zhang, Hai-Qiang Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation. (English) Zbl 1524.35609 Wave Motion 110, Article ID 102890, 10 p. (2022). MSC: 35Q55 35C08 35Q51 76B25 78A60 PDFBibTeX XMLCite \textit{Q.-L. Wu} and \textit{H.-Q. Zhang}, Wave Motion 110, Article ID 102890, 10 p. (2022; Zbl 1524.35609) Full Text: DOI
Wang, Zijia; Zhaqilao Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background. (English) Zbl 1524.35608 Wave Motion 108, Article ID 102839, 9 p. (2022). MSC: 35Q55 35C08 37K10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Zhaqilao}, Wave Motion 108, Article ID 102839, 9 p. (2022; Zbl 1524.35608) Full Text: DOI
Sheng, Han-Han; Xiao, Li-Wen; Yu, Guo-Fu; Zhong, Yi-Ning Solitons and (semi-)rational solutions for the (2+1)-dimensional Gardner equation. (English) Zbl 1484.35131 Appl. Math. Lett. 128, Article ID 107883, 7 p. (2022). MSC: 35C08 35A22 35G25 PDFBibTeX XMLCite \textit{H.-H. Sheng} et al., Appl. Math. Lett. 128, Article ID 107883, 7 p. (2022; Zbl 1484.35131) Full Text: DOI
Kengne, Emmanuel; Liu, WuMing Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift. (English) Zbl 1509.35277 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022). MSC: 35Q55 35Q41 78A60 35C08 35B35 PDFBibTeX XMLCite \textit{E. Kengne} and \textit{W. Liu}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022; Zbl 1509.35277) Full Text: DOI
Yang, Jun; Fang, Miao-Shuang; Luo, Lin; Ma, Li-Yuan From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation. (English) Zbl 1498.35520 Chaos Solitons Fractals 153, Part 2, Article ID 111600, 8 p. (2021). MSC: 35Q55 PDFBibTeX XMLCite \textit{J. Yang} et al., Chaos Solitons Fractals 153, Part 2, Article ID 111600, 8 p. (2021; Zbl 1498.35520) Full Text: DOI
Yang, Yunqing; Dong, Huanhe; Chen, Yong Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation. (English) Zbl 1524.35612 Wave Motion 106, Article ID 102787, 7 p. (2021). MSC: 35Q55 35C08 76B25 78A60 81R12 PDFBibTeX XMLCite \textit{Y. Yang} et al., Wave Motion 106, Article ID 102787, 7 p. (2021; Zbl 1524.35612) Full Text: DOI
Ma, Li-Yuan; Zhang, Yan-Li; Tang, Li; Shen, Shou-Feng New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation. (English) Zbl 1479.35811 Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021). MSC: 35Q55 35Q41 35C08 35C07 37K10 37K35 35G20 PDFBibTeX XMLCite \textit{L.-Y. Ma} et al., Appl. Math. Lett. 122, Article ID 107539, 6 p. (2021; Zbl 1479.35811) Full Text: DOI
Sinthuja, N.; Manikandan, K.; Senthilvelan, M. Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07412670 Phys. Lett., A 415, Article ID 127640, 13 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. Sinthuja} et al., Phys. Lett., A 415, Article ID 127640, 13 p. (2021; Zbl 07412670) Full Text: DOI arXiv