Li, Yang; Huang, Jun; Li, Xiaohui The splitting mechanism of the second-order rogue wave – interaction between two component first-order Akhmediev breathers. (English) Zbl 1504.35431 Chaos Solitons Fractals 161, Article ID 112334, 7 p. (2022). MSC: 35Q51 35Q55 35C08 35C07 76B15 76B25 76E20 PDFBibTeX XMLCite \textit{Y. Li} et al., Chaos Solitons Fractals 161, Article ID 112334, 7 p. (2022; Zbl 1504.35431) Full Text: DOI
Henning, Patrick; Wärnegård, Johan Superconvergence of time invariants for the Gross-Pitaevskii equation. (English) Zbl 1483.35213 Math. Comput. 91, No. 334, 509-555 (2022). MSC: 35Q55 65M60 65M06 65N30 65M12 65M15 81Q05 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, Math. Comput. 91, No. 334, 509--555 (2022; Zbl 1483.35213) Full Text: DOI arXiv
Smirnov, Valeri V.; Manevitch, Leonid I. Complex envelope variable approximation in nonlinear dynamics. (English) Zbl 1470.70029 Russ. J. Nonlinear Dyn. 16, No. 3, 491-515 (2020). MSC: 70K70 34C15 34E10 37J99 PDFBibTeX XMLCite \textit{V. V. Smirnov} and \textit{L. I. Manevitch}, Russ. J. Nonlinear Dyn. 16, No. 3, 491--515 (2020; Zbl 1470.70029) Full Text: DOI arXiv MNR
Verma, Pallavi; Kaur, Lakhveer Solitary wave solutions for \((1+2)\)-dimensional nonlinear Schrödinger equation with dual power law nonlinearity. (English) Zbl 1431.35185 Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 128, 15 p. (2019). MSC: 35Q55 35C08 35B10 35C07 78A60 PDFBibTeX XMLCite \textit{P. Verma} and \textit{L. Kaur}, Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 128, 15 p. (2019; Zbl 1431.35185) Full Text: DOI
Gumerov, Azamat M.; Ekomasov, Evgenii G.; Kudryavtsev, Roman V.; Fakhretdinov, Marat I. Excitation of large-amplitude localized nonlinear waves by the interaction of kinks of the sine-Gordon equation with attracting impurity. (English) Zbl 1420.35063 Russ. J. Nonlinear Dyn. 15, No. 1, 21-34 (2019). MSC: 35C08 35Q51 65M06 PDFBibTeX XMLCite \textit{A. M. Gumerov} et al., Russ. J. Nonlinear Dyn. 15, No. 1, 21--34 (2019; Zbl 1420.35063) Full Text: DOI MNR
Hani, Zaher; Thomann, Laurent Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping. (English) Zbl 1365.35153 Commun. Pure Appl. Math. 69, No. 9, 1727-1776 (2016). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{Z. Hani} and \textit{L. Thomann}, Commun. Pure Appl. Math. 69, No. 9, 1727--1776 (2016; Zbl 1365.35153) Full Text: DOI arXiv
Fiore, Gaetano; Guerriero, Gabriele; Maio, Alfonso; Mazziotti, Enrico On kinks and other travelling-wave solutions of a modified sine-Gordon equation. (English) Zbl 1321.35007 Meccanica 50, No. 8, 1989-2006 (2015). MSC: 35C07 35Q51 35C08 35B35 35B20 PDFBibTeX XMLCite \textit{G. Fiore} et al., Meccanica 50, No. 8, 1989--2006 (2015; Zbl 1321.35007) Full Text: DOI arXiv
Serkin, V. N.; Hasegawa, Akira; Belyaeva, T. L. Geiger-Nuttall law for Schrödinger solitons. (English) Zbl 1356.35229 J. Mod. Opt. 60, No. 2-3, 116-127 (2013). MSC: 35Q55 35C08 81V80 PDFBibTeX XMLCite \textit{V. N. Serkin} et al., J. Mod. Opt. 60, No. 2--3, 116--127 (2013; Zbl 1356.35229) Full Text: DOI
De Angelis, Monica; Fiore, Gaetano Existence and uniqueness of solutions of a class of third order dissipative problems with various boundary conditions describing the Josephson effect. (English) Zbl 1310.35077 J. Math. Anal. Appl. 404, No. 2, 477-490 (2013). MSC: 35G31 74D10 PDFBibTeX XMLCite \textit{M. De Angelis} and \textit{G. Fiore}, J. Math. Anal. Appl. 404, No. 2, 477--490 (2013; Zbl 1310.35077) Full Text: DOI arXiv
D’Anna, A.; De Angelis, M.; Fiore, G. Existence and uniqueness for some 3rd order dissipative problems with various boundary conditions. (English) Zbl 1257.35077 Acta Appl. Math. 122, No. 1, 255-267 (2012). MSC: 35G31 37C60 82D55 74D05 PDFBibTeX XMLCite \textit{A. D'Anna} et al., Acta Appl. Math. 122, No. 1, 255--267 (2012; Zbl 1257.35077) Full Text: DOI
Belyaeva, T. L.; Serkin, V. N.; Hasegawa, Akira; He, Jingsong; Li, Yishen Generalized Lax pair operator method and nonautonomous solitons. (English) Zbl 1263.37075 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 57-76 (2012). Reviewer: Tomáš Dohnal (Karlsruhe) MSC: 37K10 47A40 47F05 35Q55 37K15 37K35 37K40 PDFBibTeX XMLCite \textit{T. L. Belyaeva} et al., Oper. Theory: Adv. Appl. 220, 57--76 (2012; Zbl 1263.37075) Full Text: DOI
Kazantzis, Nikolaos On invariant manifolds of nonlinear discrete-time input-driven dynamical systems. (English) Zbl 0979.37013 Phys. Lett., A 292, No. 1-2, 107-114 (2001). MSC: 37C05 37N25 39A05 39B72 PDFBibTeX XMLCite \textit{N. Kazantzis}, Phys. Lett., A 292, No. 1--2, 107--114 (2001; Zbl 0979.37013) Full Text: DOI