Kengne, Emmanuel; Malomed, Boris A.; Liu, WuMing Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential. (English) Zbl 1477.35243 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021). MSC: 35Q55 35Q60 35C08 78A60 78A45 78A40 82C10 37K10 PDF BibTeX XML Cite \textit{E. Kengne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021; Zbl 1477.35243) Full Text: DOI arXiv OpenURL
Luo, Jinghua; Fan, Engui A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation. (English) Zbl 1473.35511 J. Geom. Phys. 167, Article ID 104291, 10 p. (2021). MSC: 35Q55 35C08 30E25 37K10 37K35 PDF BibTeX XML Cite \textit{J. Luo} and \textit{E. Fan}, J. Geom. Phys. 167, Article ID 104291, 10 p. (2021; Zbl 1473.35511) Full Text: DOI OpenURL
Mendoza, J.; Muriel, C.; Ramírez, J. New optical solitons of Kundu-Eckhaus equation via \(\lambda\)-symmetry. (English) Zbl 07501391 Chaos Solitons Fractals 136, Article ID 109786, 6 p. (2020). MSC: 35Q51 35C08 35B06 PDF BibTeX XML Cite \textit{J. Mendoza} et al., Chaos Solitons Fractals 136, Article ID 109786, 6 p. (2020; Zbl 07501391) Full Text: DOI OpenURL
Zhu, Wenjing; Xia, Yonghui; Bai, Yuzhen Explicit exact traveling wave solutions and bifurcations of the Kundu-Eckhaus equation. (English) Zbl 07496256 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 21, No. 3, 197-203 (2020). MSC: 35Q55 35Q35 PDF BibTeX XML Cite \textit{W. Zhu} et al., Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 21, No. 3, 197--203 (2020; Zbl 07496256) OpenURL
El-Rashidy, K.; Seadawy, Aly R. Kinky breathers, multi-peak and multi-wave soliton solutions for the nonlinear propagation of Kundu-Eckhaus dynamical model. (English) Zbl 1454.35337 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050317, 10 p. (2020). MSC: 35Q55 35C08 35A22 PDF BibTeX XML Cite \textit{K. El-Rashidy} and \textit{A. R. Seadawy}, Int. J. Mod. Phys. B 34, No. 32, Article ID 2050317, 10 p. (2020; Zbl 1454.35337) Full Text: DOI OpenURL
Qiu, Deqin; Cheng, Wenguang The \(n\)-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions. (English) Zbl 1473.35512 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104887, 13 p. (2019). MSC: 35Q55 35A30 37J06 35C05 PDF BibTeX XML Cite \textit{D. Qiu} and \textit{W. Cheng}, Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104887, 13 p. (2019; Zbl 1473.35512) Full Text: DOI OpenURL
Hu, Beibei; Xia, Tiecheng A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. (English) Zbl 1447.35239 Complex Var. Elliptic Equ. 64, No. 12, 2019-2039 (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q51 37K10 35A22 37K15 PDF BibTeX XML Cite \textit{B. Hu} and \textit{T. Xia}, Complex Var. Elliptic Equ. 64, No. 12, 2019--2039 (2019; Zbl 1447.35239) Full Text: DOI OpenURL
Qiu, Deqin; Cheng, Wenguang The \(n\)th-order degenerate breather solution for the Kundu-Eckhaus equation. (English) Zbl 1423.81069 Appl. Math. Lett. 98, 13-21 (2019). MSC: 81Q05 35Q55 35C08 35C07 35P30 PDF BibTeX XML Cite \textit{D. Qiu} and \textit{W. Cheng}, Appl. Math. Lett. 98, 13--21 (2019; Zbl 1423.81069) Full Text: DOI OpenURL
Arafa, Anas. A. M.; Hagag, Ahmed. M. Sh. \(Q\)-homotopy analysis transform method applied to fractional Kundu-Eckhaus equation and fractional massive Thirring model arising in quantum field theory. (English) Zbl 1419.35198 Asian-Eur. J. Math. 12, No. 3, Article ID 1950045, 11 p. (2019). MSC: 35R11 35C10 35Q40 PDF BibTeX XML Cite \textit{Anas. A. M. Arafa} and \textit{Ahmed. M. Sh. Hagag}, Asian-Eur. J. Math. 12, No. 3, Article ID 1950045, 11 p. (2019; Zbl 1419.35198) Full Text: DOI OpenURL
Wang, Deng-Shan; Guo, Boling; Wang, Xiaoli Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions. (English) Zbl 1483.35146 J. Differ. Equations 266, No. 9, 5209-5253 (2019). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 35Q15 37K40 37K15 35B40 65H10 PDF BibTeX XML Cite \textit{D.-S. Wang} et al., J. Differ. Equations 266, No. 9, 5209--5253 (2019; Zbl 1483.35146) Full Text: DOI OpenURL
Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. (English) Zbl 1448.35430 Adv. Difference Equ. 2018, Paper No. 334, 20 p. (2018). MSC: 35Q51 35C08 37K40 PDF BibTeX XML Cite \textit{A. Ali} et al., Adv. Difference Equ. 2018, Paper No. 334, 20 p. (2018; Zbl 1448.35430) Full Text: DOI OpenURL
Xie, Xi-Yang; Yan, Ze-Hui Soliton collisions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber. (English) Zbl 1394.35491 Appl. Math. Lett. 80, 48-53 (2018). MSC: 35Q61 78A60 35C08 35B40 PDF BibTeX XML Cite \textit{X.-Y. Xie} and \textit{Z.-H. Yan}, Appl. Math. Lett. 80, 48--53 (2018; Zbl 1394.35491) Full Text: DOI OpenURL
Zhao, Hai-qiong; Yuan, Jinyun; Zhu, Zuo-nong Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory. (English) Zbl 1383.37059 J. Nonlinear Sci. 28, No. 1, 43-68 (2018). MSC: 37K10 37K40 34K25 35Q55 37K35 34K31 PDF BibTeX XML Cite \textit{H.-q. Zhao} et al., J. Nonlinear Sci. 28, No. 1, 43--68 (2018; Zbl 1383.37059) Full Text: DOI OpenURL
Zhu, Qiaozhen; Xu, Jian; Fan, Engui The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value. (English) Zbl 1383.35137 Appl. Math. Lett. 76, 81-89 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35B40 PDF BibTeX XML Cite \textit{Q. Zhu} et al., Appl. Math. Lett. 76, 81--89 (2018; Zbl 1383.35137) Full Text: DOI OpenURL
Xie, Xi-Yang; Tian, Bo; Sun, Wen-Rong; Sun, Ya Rogue-wave solutions for the Kundu-Eckhaus equation with variable coefficients in an optical fiber. (English) Zbl 1348.78020 Nonlinear Dyn. 81, No. 3, 1349-1354 (2015). MSC: 78A50 PDF BibTeX XML Cite \textit{X.-Y. Xie} et al., Nonlinear Dyn. 81, No. 3, 1349--1354 (2015; Zbl 1348.78020) Full Text: DOI OpenURL
Taghizadeh, N.; Mirzazadeh, Mohammad; Eslami, M.; Moradi, M. Exact travelling wave solutions for some complex nonlinear partial differential equations. (English) Zbl 1307.35267 Comput. Methods Differ. Equ. 2, No. 1, 11-18 (2014). MSC: 35Q53 65M70 35Q55 35G25 PDF BibTeX XML Cite \textit{N. Taghizadeh} et al., Comput. Methods Differ. Equ. 2, No. 1, 11--18 (2014; Zbl 1307.35267) Full Text: Link OpenURL
Toomanian, Megerdich; Asadi, Naser Reductions for Kundu-Eckhaus equation via Lie symmetry analysis. (English) Zbl 1334.37083 Math. Sci., Springer 7, Paper No. 50, 4 p. (2013). MSC: 37K10 37J15 35Q55 PDF BibTeX XML Cite \textit{M. Toomanian} and \textit{N. Asadi}, Math. Sci., Springer 7, Paper No. 50, 4 p. (2013; Zbl 1334.37083) Full Text: DOI OpenURL
Levi, Decio; Scimiterna, Christian The Kundu-Eckhaus equation and its discretizations. (English) Zbl 1181.35243 J. Phys. A, Math. Theor. 42, No. 46, Article ID 465203, 8 p. (2009). MSC: 35Q53 37K10 35A30 PDF BibTeX XML Cite \textit{D. Levi} and \textit{C. Scimiterna}, J. Phys. A, Math. Theor. 42, No. 46, Article ID 465203, 8 p. (2009; Zbl 1181.35243) Full Text: DOI arXiv OpenURL
Kundu, Anjan; Strampp, Walter Derivative and higher-order extensions of Davey-Stewartson equation from matrix Kadomtsev-Petviashvili hierarchy. (English) Zbl 0846.35132 J. Math. Phys. 36, No. 8, 4192-4202 (1995). MSC: 35Q58 37J35 37K10 PDF BibTeX XML Cite \textit{A. Kundu} and \textit{W. Strampp}, J. Math. Phys. 36, No. 8, 4192--4202 (1995; Zbl 0846.35132) Full Text: DOI arXiv OpenURL