Danesi, Veronica; Sansottera, Marco; Paleari, Simone; Penati, Tiziano Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms. (English) Zbl 1491.37063 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022). MSC: 37K60 37K55 35Q55 PDFBibTeX XMLCite \textit{V. Danesi} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022; Zbl 1491.37063) Full Text: DOI arXiv
Sansottera, Marco; Danesi, V.; Penati, T.; Paleari, S. On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori. (English) Zbl 1453.37059 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020). MSC: 37J40 37K55 70H08 70K43 PDFBibTeX XMLCite \textit{M. Sansottera} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020; Zbl 1453.37059) Full Text: DOI arXiv
Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G. On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. (English) Zbl 1390.37125 Physica D 370, 1-13 (2018). MSC: 37K60 35Q55 PDFBibTeX XMLCite \textit{T. Penati} et al., Physica D 370, 1--13 (2018; Zbl 1390.37125) Full Text: DOI arXiv