Yin, Zhe-Yong; Tian, Shou-Fu On the Poisson structure and action-angle variables for the Wadati-Konno-Ichikawa equation. (English) Zbl 07708808 Appl. Math. Lett. 142, Article ID 108637, 7 p. (2023). MSC: 35Q53 35C08 37K10 37K15 74K10 35Q74 82D50 PDFBibTeX XMLCite \textit{Z.-Y. Yin} and \textit{S.-F. Tian}, Appl. Math. Lett. 142, Article ID 108637, 7 p. (2023; Zbl 07708808) Full Text: DOI
Liu, Nan; Yu, Jia-Dong Inverse scattering for the derivative nonlinear Schrödinger equation with nonzero boundary conditions and triple poles. (English) Zbl 1524.35592 Appl. Math. Lett. 136, Article ID 108474, 9 p. (2023). MSC: 35Q55 35Q15 35Q53 37K40 37K15 PDFBibTeX XMLCite \textit{N. Liu} and \textit{J.-D. Yu}, Appl. Math. Lett. 136, Article ID 108474, 9 p. (2023; Zbl 1524.35592) Full Text: DOI
Yang, Yiling; Fan, Engui Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data. (English) Zbl 1503.35202 Chin. Ann. Math., Ser. B 43, No. 6, 893-948 (2022). MSC: 35Q51 35Q15 37K15 35C20 41A60 35B40 35B35 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Chin. Ann. Math., Ser. B 43, No. 6, 893--948 (2022; Zbl 1503.35202) Full Text: DOI
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H.; Zhu, Yi Integrable nonlocal derivative nonlinear Schrödinger equations. (English) Zbl 1490.35386 Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022). MSC: 35Q55 35Q15 37K10 37K15 37K40 35C08 35B40 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Inverse Probl. 38, No. 6, Article ID 065003, 34 p. (2022; Zbl 1490.35386) Full Text: DOI
Liu, Nan; Xuan, Zuxing; Sun, Jinyi Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform. (English) Zbl 1479.35806 Appl. Math. Lett. 125, Article ID 107741, 8 p. (2022). MSC: 35Q55 35Q15 81Q05 37K15 35C08 35R30 PDFBibTeX XMLCite \textit{N. Liu} et al., Appl. Math. Lett. 125, Article ID 107741, 8 p. (2022; Zbl 1479.35806) Full Text: DOI
Li, Yan; Zhang, Ling; Hu, Beibei; Wang, Ruiqi The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011 Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021). MSC: 81Q05 35Q55 35Q15 35G31 65R10 34L40 PDFBibTeX XMLCite \textit{Y. Li} et al., Theor. Math. Phys. 209, No. 2, 1537--1551 (2021; Zbl 1482.81011); translation from Teor. Mat. Fiz. 209, No. 2, 258--273 (2021) Full Text: DOI
Zhang, Guoqiang; Yan, Zhenya The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. (English) Zbl 1462.35372 J. Nonlinear Sci. 30, No. 6, 3089-3127 (2020). MSC: 35Q55 35Q15 35Q51 37K10 37K15 35P30 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{Z. Yan}, J. Nonlinear Sci. 30, No. 6, 3089--3127 (2020; Zbl 1462.35372) Full Text: DOI arXiv
Erdoğan, M. B.; Gürel, T. B.; Tzirakis, N. The derivative nonlinear Schrödinger equation on the half line. (English) Zbl 1405.35194 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1947-1973 (2018). MSC: 35Q55 35B65 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 7, 1947--1973 (2018; Zbl 1405.35194) Full Text: DOI arXiv
Zhou, Guoquan; Li, Xujun Space periodic solutions and rogue wave solution of the derivative nonlinear Schrödinger equation. (English) Zbl 1399.35055 Wuhan Univ. J. Nat. Sci. 22, No. 5, 373-379 (2017). MSC: 35B10 35Q55 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{X. Li}, Wuhan Univ. J. Nat. Sci. 22, No. 5, 373--379 (2017; Zbl 1399.35055) Full Text: DOI
Li, Xujun; Zhou, Guoquan Mixed breather-type and pure soliton solution of DNLS equation. (English) Zbl 1389.35119 Wuhan Univ. J. Nat. Sci. 22, No. 3, 223-232 (2017). MSC: 35C08 35Q55 PDFBibTeX XMLCite \textit{X. Li} and \textit{G. Zhou}, Wuhan Univ. J. Nat. Sci. 22, No. 3, 223--232 (2017; Zbl 1389.35119) Full Text: DOI
Zhong, Wei-Ping; Belić, Milivoj; Malomed, Boris A.; Huang, Tingwen Breather management in the derivative nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1343.35221 Ann. Phys. 355, 313-321 (2015). MSC: 35Q55 35Q60 35C05 35A22 PDFBibTeX XMLCite \textit{W.-P. Zhong} et al., Ann. Phys. 355, 313--321 (2015; Zbl 1343.35221) Full Text: DOI
Jackson, R. K.; Marangell, R.; Susanto, H. An instability criterion for nonlinear standing waves on nonzero backgrounds. (English) Zbl 1310.35217 J. Nonlinear Sci. 24, No. 6, 1177-1196 (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35C08 35Q41 37K40 PDFBibTeX XMLCite \textit{R. K. Jackson} et al., J. Nonlinear Sci. 24, No. 6, 1177--1196 (2014; Zbl 1310.35217) Full Text: DOI arXiv
Sun, Xiao Wei; Wang, You De Geometric Schrödinger-Airy flows on Kähler manifolds. (English) Zbl 1266.58020 Acta Math. Sin., Engl. Ser. 29, No. 2, 209-240 (2013). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J60 35Q55 35Q53 53C55 PDFBibTeX XMLCite \textit{X. W. Sun} and \textit{Y. De Wang}, Acta Math. Sin., Engl. Ser. 29, No. 2, 209--240 (2013; Zbl 1266.58020) Full Text: DOI arXiv
Takahashi, Daisuke A. Soliton-phonon scattering problem in 1D nonlinear Schrödinger systems with general nonlinearity. (English) Zbl 1260.35214 Physica D 241, No. 19, 1589-1602 (2012). MSC: 35Q55 35C08 81U05 PDFBibTeX XMLCite \textit{D. A. Takahashi}, Physica D 241, No. 19, 1589--1602 (2012; Zbl 1260.35214) Full Text: DOI arXiv
Chen, Jun-Lang; Dai, Chao-Qing; Wang, Xiao-Gang Domain wall arrays, fronts, and bright and dark solitons in a generalized derivative nonlinear Schrödinger equation. (English) Zbl 1228.35220 Comput. Math. Appl. 62, No. 2, 620-625 (2011). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{J.-L. Chen} et al., Comput. Math. Appl. 62, No. 2, 620--625 (2011; Zbl 1228.35220) Full Text: DOI
Ablowitz, M. J.; Nixon, S. D.; Horikis, T. P.; Frantzeskakis, D. J. Perturbations of dark solitons. (English) Zbl 1228.35213 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2597-2621 (2011). MSC: 35Q55 35Q51 78A60 37K55 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2597--2621 (2011; Zbl 1228.35213) Full Text: DOI arXiv
Lenells, Jonatan The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line. (English) Zbl 1220.37062 Physica D 240, No. 6, 512-525 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K15 35Q55 35Q15 PDFBibTeX XMLCite \textit{J. Lenells}, Physica D 240, No. 6, 512--525 (2011; Zbl 1220.37062) Full Text: DOI arXiv
Zhang, Jin; Yan, Tian; Cai, Hao Hamiltonian theory for the DNLS equation with a squared spectral parameter. (English) Zbl 1240.35530 Wuhan Univ. J. Nat. Sci. 15, No. 4, 315-319 (2010). MSC: 35Q55 PDFBibTeX XMLCite \textit{J. Zhang} et al., Wuhan Univ. J. Nat. Sci. 15, No. 4, 315--319 (2010; Zbl 1240.35530) Full Text: DOI
Zhong, Penghong; Wang, Shu; Wang, Ke; Bai, Yiping The numerical convergence of the Landau-Lifshitz equations and its simulation. (English) Zbl 1192.35171 Discrete Dyn. Nat. Soc. 2010, Article ID 124129, 13 p. (2010). MSC: 35Q56 65M06 65M12 PDFBibTeX XMLCite \textit{P. Zhong} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 124129, 13 p. (2010; Zbl 1192.35171) Full Text: DOI EuDML
Yang, Ganshan; Guo, Boling Some exact solutions to multidimensional Landau-Lifshitz equation with uprush external field and anisotropy field. (English) Zbl 1172.35348 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3999-4006 (2009). MSC: 35C05 35A25 35Q60 82D45 PDFBibTeX XMLCite \textit{G. Yang} and \textit{B. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3999--4006 (2009; Zbl 1172.35348) Full Text: DOI
Grecu, Dan; Grecu, Alexandru Tudor; Visinescu, Anca; Fedele, Renato; De Nicola, Sergio Solitary waves in a Madelung fluid description of derivative NLS equations. (English) Zbl 1362.35285 J. Nonlinear Math. Phys. 15, Suppl. 3, 209-219 (2008). MSC: 35Q55 35C08 81Q65 PDFBibTeX XMLCite \textit{D. Grecu} et al., J. Nonlinear Math. Phys. 15, 209--219 (2008; Zbl 1362.35285) Full Text: DOI
Huang, Guoxiang; Compagnon, Nicolas Complete and orthonormal eigenfunctions of excitations to a one-dimensional dark soliton. (English) Zbl 1217.35153 Phys. Lett., A 372, No. 3, 321-326 (2008). MSC: 35Q51 35P10 47A10 PDFBibTeX XMLCite \textit{G. Huang} and \textit{N. Compagnon}, Phys. Lett., A 372, No. 3, 321--326 (2008; Zbl 1217.35153) Full Text: DOI
Hoseini, S. M.; Marchant, T. R. Evolution of higher-order gray Hirota solitary waves. (English) Zbl 1191.35224 Stud. Appl. Math. 121, No. 2, 117-139 (2008). MSC: 35Q51 35C08 35B35 37K40 35B20 65M06 PDFBibTeX XMLCite \textit{S. M. Hoseini} and \textit{T. R. Marchant}, Stud. Appl. Math. 121, No. 2, 117--139 (2008; Zbl 1191.35224) Full Text: DOI
Yu, Huiyou; Yan, Jiaren Direct approach of perturbation theory for kink solitons. (English) Zbl 1234.35258 Phys. Lett., A 351, No. 1-2, 97-100 (2006). MSC: 35Q55 35Q51 37K40 PDFBibTeX XMLCite \textit{H. Yu} and \textit{J. Yan}, Phys. Lett., A 351, No. 1--2, 97--100 (2006; Zbl 1234.35258) Full Text: DOI
Cai, Hao; Liu, Feng-Ming; Huang, Nian-Ning Dark multi-soliton solution of the nonlinear Schrödinger equation with non-vanishing boundary. (English) Zbl 1077.35113 Int. J. Theor. Phys. 44, No. 2, 255-265 (2005). MSC: 35Q55 35Q51 37K15 37K40 PDFBibTeX XMLCite \textit{H. Cai} et al., Int. J. Theor. Phys. 44, No. 2, 255--265 (2005; Zbl 1077.35113) Full Text: DOI
Chen, Shi-Rong; Huang, Nian-Ning A simple treatment of the sine-Gordon equation. (English) Zbl 1061.35105 J. Math. Phys. 42, No. 6, 2554-2566 (2001). MSC: 35Q53 35L70 35Q51 PDFBibTeX XMLCite \textit{S.-R. Chen} and \textit{N.-N. Huang}, J. Math. Phys. 42, No. 6, 2554--2566 (2001; Zbl 1061.35105) Full Text: DOI
Huang, Nian-Ning; Chi, Sien; Lou, B. L.; Chen, Xiang-Jun A direct theory for the perturbed unstable nonlinear Schrödinger equation. (English) Zbl 0972.35148 J. Math. Phys. 41, No. 5, 2931-2942 (2000). MSC: 35Q55 37K55 82D10 PDFBibTeX XMLCite \textit{N.-N. Huang} et al., J. Math. Phys. 41, No. 5, 2931--2942 (2000; Zbl 0972.35148) Full Text: DOI Link