Li, Li; Yu, Fajun; Yu, Jiaming Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber. (English) Zbl 1524.35620 Wave Motion 122, Article ID 103207, 12 p. (2023). MSC: 35Q60 35Q55 78A60 PDFBibTeX XMLCite \textit{L. Li} et al., Wave Motion 122, Article ID 103207, 12 p. (2023; Zbl 1524.35620) Full Text: DOI
Li, Li; Yu, Fajun Some space-time fractional bright-dark solitons and propagation manipulations for a fractional Gross-Pitaevskii equation with an external potential. (English) Zbl 1519.35357 Commun. Theor. Phys. 75, No. 7, Article ID 075010, 9 p. (2023). MSC: 35R11 35Q51 35C08 26A33 PDFBibTeX XMLCite \textit{L. Li} and \textit{F. Yu}, Commun. Theor. Phys. 75, No. 7, Article ID 075010, 9 p. (2023; Zbl 1519.35357) Full Text: DOI
Li, Li; Liu, Yiyan; Yu, Fajun \(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgrounds. (English) Zbl 07715014 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023-1035 (2023). MSC: 35Q55 37K10 35C08 PDFBibTeX XMLCite \textit{L. Li} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1023--1035 (2023; Zbl 07715014) Full Text: DOI
Wei, Han-Yu; Fan, En-Gui; Ma, Wen-Xiu Completion of the Guo-hierarchy integrable coupling with self-consistent sources in a nonlinear wave system. (English) Zbl 1485.35336 East Asian J. Appl. Math. 12, No. 3, 521-534 (2022). MSC: 35Q51 35Q53 37K40 PDFBibTeX XMLCite \textit{H.-Y. Wei} et al., East Asian J. Appl. Math. 12, No. 3, 521--534 (2022; Zbl 1485.35336) Full Text: DOI
Yu, Fajun; Liu, Chunping; Li, Li Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation. (English) Zbl 1464.35333 Appl. Math. Lett. 117, Article ID 107075, 8 p. (2021). MSC: 35Q55 37K35 37K40 35C08 PDFBibTeX XMLCite \textit{F. Yu} et al., Appl. Math. Lett. 117, Article ID 107075, 8 p. (2021; Zbl 1464.35333) Full Text: DOI
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. (English) Zbl 1458.35388 Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021). MSC: 35Q55 35Q15 37K10 35C08 82D40 PDFBibTeX XMLCite \textit{Z.-Z. Kang} et al., Anal. Math. Phys. 11, No. 1, Paper No. 14, 13 p. (2021; Zbl 1458.35388) Full Text: DOI
Wazwaz, Abdul-Majid Repeated application of the recursion operator for a new hierarchy of negative-order integrable KdV equations. (English) Zbl 1504.35457 Waves Random Complex Media 30, No. 2, 300-307 (2020). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Waves Random Complex Media 30, No. 2, 300--307 (2020; Zbl 1504.35457) Full Text: DOI
Li, Li; Yu, Fajun; Duan, Chaonan A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential. (English) Zbl 1451.35189 Appl. Math. Lett. 110, Article ID 106584, 8 p. (2020). MSC: 35Q55 81Q05 35C08 82C10 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Lett. 110, Article ID 106584, 8 p. (2020; Zbl 1451.35189) Full Text: DOI
Yu, Fajun; Fan, Rui Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations. (English) Zbl 1440.35314 Appl. Math. Lett. 103, Article ID 106209, 8 p. (2020). MSC: 35Q55 81Q05 37K40 35C08 PDFBibTeX XMLCite \textit{F. Yu} and \textit{R. Fan}, Appl. Math. Lett. 103, Article ID 106209, 8 p. (2020; Zbl 1440.35314) Full Text: DOI
Li, Li; Duan, Chaonan; Yu, Fajun An improved Hirota bilinear method and new application for a nonlocal integrable complex modified Korteweg-de Vries (MKdV) equation. (English) Zbl 1479.35740 Phys. Lett., A 383, No. 14, 1578-1582 (2019). MSC: 35Q53 35Q51 35C08 37K10 PDFBibTeX XMLCite \textit{L. Li} et al., Phys. Lett., A 383, No. 14, 1578--1582 (2019; Zbl 1479.35740) Full Text: DOI
Yu, Fajun A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations. (English) Zbl 1480.35364 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104852, 18 p. (2019). MSC: 35Q55 35C08 37K35 78A60 PDFBibTeX XMLCite \textit{F. Yu}, Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104852, 18 p. (2019; Zbl 1480.35364) Full Text: DOI
Mao, Jin-Jin; Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian; Yan, Xing-Jie Bilinear formalism, lump solution, lumpoff and instanton/rogue wave solution of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1437.37094 Nonlinear Dyn. 95, No. 4, 3005-3017 (2019). MSC: 37K40 35C08 35Q35 PDFBibTeX XMLCite \textit{J.-J. Mao} et al., Nonlinear Dyn. 95, No. 4, 3005--3017 (2019; Zbl 1437.37094) Full Text: DOI
Yu, Fajun; Li, Li Dynamics of some novel breather solutions and rogue waves for the PT-symmetric nonlocal soliton equations. (English) Zbl 1432.37094 Nonlinear Dyn. 95, No. 3, 1867-1877 (2019). MSC: 37K40 37K10 35Q35 35Q51 35C08 PDFBibTeX XMLCite \textit{F. Yu} and \textit{L. Li}, Nonlinear Dyn. 95, No. 3, 1867--1877 (2019; Zbl 1432.37094) Full Text: DOI
Duan, Chaonan; Yu, Fajun; Tian, Mengzhe Some novel solitary wave characteristics for a generalized nonlocal nonlinear Hirota (GNNH) equation. (English) Zbl 1476.35234 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3-4, 441-448 (2019). MSC: 35Q55 35A30 35C08 PDFBibTeX XMLCite \textit{C. Duan} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3--4, 441--448 (2019; Zbl 1476.35234) Full Text: DOI
Yu, Fajun Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials. (English) Zbl 1412.35059 Appl. Math. Lett. 92, 108-114 (2019). MSC: 35C08 35P25 35Q55 PDFBibTeX XMLCite \textit{F. Yu}, Appl. Math. Lett. 92, 108--114 (2019; Zbl 1412.35059) Full Text: DOI
Manikandan, Kannan; Stalin, Seenimuthu; Senthilvelan, Murugaian Dynamical behaviour of solitons in a \(\mathcal{P} \mathcal{T} \)-invariant nonlocal nonlinear Schrödinger equation with distributed coefficients. (English) Zbl 1515.35255 Eur. Phys. J. B, Condens. Matter Complex Syst. 91, No. 11, Paper No. 291, 11 p. (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 91, No. 11, Paper No. 291, 11 p. (2018; Zbl 1515.35255) Full Text: DOI
Fan, Rui; Yu, Fa-Jun Mixed local-nonlocal vector Schrödinger equations and their breather solutions. (English) Zbl 1452.35184 Commun. Theor. Phys. 70, No. 6, 651-660 (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{R. Fan} and \textit{F.-J. Yu}, Commun. Theor. Phys. 70, No. 6, 651--660 (2018; Zbl 1452.35184) Full Text: DOI
Peng, Wei-Qi; Tian, Shou-Fu; Zou, Li; Zhang, Tian-Tian Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation. (English) Zbl 1398.37066 Nonlinear Dyn. 93, No. 4, 1841-1851 (2018). MSC: 37K10 35C08 PDFBibTeX XMLCite \textit{W.-Q. Peng} et al., Nonlinear Dyn. 93, No. 4, 1841--1851 (2018; Zbl 1398.37066) Full Text: DOI
Yan, Xue-Wei; Tian, Shou-Fu; Dong, Min-Jie; Zou, Li Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. (English) Zbl 1398.37080 Nonlinear Dyn. 92, No. 2, 709-720 (2018). MSC: 37K35 37K10 PDFBibTeX XMLCite \textit{X.-W. Yan} et al., Nonlinear Dyn. 92, No. 2, 709--720 (2018; Zbl 1398.37080) Full Text: DOI
Li, Qian; Wang, Deng-Shan; Wen, Xiao-Yong; Zhuang, Jian-Hong An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws. (English) Zbl 1390.37112 Nonlinear Dyn. 91, No. 1, 625-639 (2018). MSC: 37K10 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Dyn. 91, No. 1, 625--639 (2018; Zbl 1390.37112) Full Text: DOI