Yagasaki, Kazuyuki; Yamazoe, Shotaro Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems. (English) Zbl 1412.37072 SIAM J. Appl. Dyn. Syst. 18, No. 1, 393-417 (2019). MSC: 37K50 37K45 35B32 35B35 35Q55 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{S. Yamazoe}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 393--417 (2019; Zbl 1412.37072) Full Text: DOI
Miyaji, Tomoyuki; Tsutsumi, Yoshio Steady-state mode interactions of radially symmetric modes for the Lugiato-Lefever equation on a disk. (English) Zbl 1397.35286 Commun. Pure Appl. Anal. 17, No. 4, 1633-1650 (2018). MSC: 35Q55 35B36 35B32 35Q60 78A60 PDFBibTeX XMLCite \textit{T. Miyaji} and \textit{Y. Tsutsumi}, Commun. Pure Appl. Anal. 17, No. 4, 1633--1650 (2018; Zbl 1397.35286) Full Text: DOI
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. (English) Zbl 1318.35109 J. Nonlinear Sci. 25, No. 3, 709-739 (2015). MSC: 35Q55 65M70 82B10 82-08 PDFBibTeX XMLCite \textit{J. Sierra} et al., J. Nonlinear Sci. 25, No. 3, 709--739 (2015; Zbl 1318.35109) Full Text: DOI arXiv
Broeckhove, Jan; Kłosiewicz, Przemysław; Vanroose, Wim Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation. (English) Zbl 1190.65190 J. Comput. Appl. Math. 234, No. 4, 1238-1248 (2010). MSC: 65P30 65H20 65Y20 37M20 81U20 PDFBibTeX XMLCite \textit{J. Broeckhove} et al., J. Comput. Appl. Math. 234, No. 4, 1238--1248 (2010; Zbl 1190.65190) Full Text: DOI arXiv
Pando L., C. L.; Doedel, E. J. Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation. (English) Zbl 1160.37376 Physica D 238, No. 6, 687-698 (2009). MSC: 37G15 35Q55 PDFBibTeX XMLCite \textit{C. L. Pando L.} and \textit{E. J. Doedel}, Physica D 238, No. 6, 687--698 (2009; Zbl 1160.37376) Full Text: DOI
Melvin, T. R. O.; Champneys, A. R.; Kevrekidis, P. G.; Cuevas, J. Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics. (English) Zbl 1167.35448 Physica D 237, No. 4, 551-567 (2008). MSC: 35Q51 35R10 35Q55 35K40 65M70 82D25 PDFBibTeX XMLCite \textit{T. R. O. Melvin} et al., Physica D 237, No. 4, 551--567 (2008; Zbl 1167.35448) Full Text: DOI Link
Pelinovsky, Dmitry E.; Melvin, Thomas R. O.; Champneys, Alan R. One-parameter localized traveling waves in nonlinear Schrödinger lattices. (English) Zbl 1142.34041 Physica D 236, No. 1, 22-43 (2007). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34K10 35Q55 35R10 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} et al., Physica D 236, No. 1, 22--43 (2007; Zbl 1142.34041) Full Text: DOI Link
Blockley, Edward W.; Bassom, Andrew P.; Gilbert, Andrew D.; Soward, Andrew M. Pulse-train solutions of a spatially heterogeneous amplitude equation arising in the subcritical instability of narrow gap spherical Couette flow. (English) Zbl 1183.76717 Physica D 228, No. 1, 1-30 (2007). MSC: 76E07 76E30 35Q55 37N10 PDFBibTeX XMLCite \textit{E. W. Blockley} et al., Physica D 228, No. 1, 1--30 (2007; Zbl 1183.76717) Full Text: DOI
Brusch, Lutz; Torcini, Alessandro; Bär, Markus Nonlinear analysis of the Eckhaus instability: Modulated amplitude waves and phase chaos with nonzero average phase gradient. (English) Zbl 1076.76523 Physica D 174, No. 1-4, 152-167 (2003). MSC: 76E30 35Q55 37N10 PDFBibTeX XMLCite \textit{L. Brusch} et al., Physica D 174, No. 1--4, 152--167 (2003; Zbl 1076.76523) Full Text: DOI arXiv
Kutz, J. Nathan; Kath, William L. Stability of pulses in nonlinear optical fibers using phase-sensitive amplifiers. (English) Zbl 0851.35124 SIAM J. Appl. Math. 56, No. 2, 611-626 (1996). MSC: 35Q55 35B32 35B20 78A60 41A60 PDFBibTeX XMLCite \textit{J. N. Kutz} and \textit{W. L. Kath}, SIAM J. Appl. Math. 56, No. 2, 611--626 (1996; Zbl 0851.35124) Full Text: DOI
Jolly, M. S.; Temam, R.; Xiong, C. An application of approximate inertial manifolds to a weakly damped nonlinear Schrödinger equation. (English) Zbl 0851.65071 Numer. Funct. Anal. Optimization 16, No. 7-8, 923-937 (1995). Reviewer: U.Langer (Linz) MSC: 65M60 35Q55 PDFBibTeX XMLCite \textit{M. S. Jolly} et al., Numer. Funct. Anal. Optim. 16, No. 7--8, 923--937 (1995; Zbl 0851.65071) Full Text: DOI