Faver, Timothy E.; Hupkes, Hermen Jan Mass and spring dimer Fermi-Pasta-Ulam-Tsingou nanopterons with exponentially small, nonvanishing ripples. (English) Zbl 07778783 Stud. Appl. Math. 150, No. 4, 1046-1153 (2023). MSC: 82-XX 35-XX PDFBibTeX XMLCite \textit{T. E. Faver} and \textit{H. J. Hupkes}, Stud. Appl. Math. 150, No. 4, 1046--1153 (2023; Zbl 07778783) Full Text: DOI arXiv
McGinnis, Joshua A. Macroscopic wave propagation for 2D lattice with random masses. (English) Zbl 07771120 Stud. Appl. Math. 151, No. 2, 752-790 (2023). MSC: 82-XX 60-XX PDFBibTeX XMLCite \textit{J. A. McGinnis}, Stud. Appl. Math. 151, No. 2, 752--790 (2023; Zbl 07771120) Full Text: DOI arXiv
Hilder, Bastian; de Rijk, Björn; Schneider, Guido Moving modulating pulse and front solutions of permanent form in a FPU model with nearest and next-to-nearest neighbor interaction. (English) Zbl 07712424 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1076-1113 (2023). MSC: 37L60 37L10 34C15 37K60 PDFBibTeX XMLCite \textit{B. Hilder} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 1076--1113 (2023; Zbl 07712424) Full Text: DOI arXiv
Wright, J. Douglas A simple model of radiating solitary waves. (English) Zbl 1524.78025 Wave Motion 114, Article ID 102971, 15 p. (2022). MSC: 78A40 PDFBibTeX XMLCite \textit{J. D. Wright}, Wave Motion 114, Article ID 102971, 15 p. (2022; Zbl 1524.78025) Full Text: DOI arXiv
Mcginnis, Joshua A.; Wright, J. Douglas Using random walks to establish wavelike behavior in a linear FPUT system with random coefficients. (English) Zbl 1505.37093 Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2581-2607 (2022). MSC: 37L55 37L60 74J05 60K50 PDFBibTeX XMLCite \textit{J. A. Mcginnis} and \textit{J. D. Wright}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 9, 2581--2607 (2022; Zbl 1505.37093) Full Text: DOI arXiv
Vainchtein, Anna Solitary waves in FPU-type lattices. (English) Zbl 07529695 Physica D 434, Article ID 133252, 22 p. (2022). MSC: 82-XX 35-XX PDFBibTeX XMLCite \textit{A. Vainchtein}, Physica D 434, Article ID 133252, 22 p. (2022; Zbl 07529695) Full Text: DOI
Hong, Younghun; Kwak, Chulkwang; Yang, Changhun On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system. (English) Zbl 1477.35220 Arch. Ration. Mech. Anal. 240, No. 2, 1091-1145 (2021). MSC: 35Q53 37K60 82C22 PDFBibTeX XMLCite \textit{Y. Hong} et al., Arch. Ration. Mech. Anal. 240, No. 2, 1091--1145 (2021; Zbl 1477.35220) Full Text: DOI arXiv
Faver, Timothy E.; Hupkes, Hermen Jan Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit. (English) Zbl 1495.34021 Physica D 410, Article ID 132538, 50 p. (2020). MSC: 34A33 37K60 70F45 PDFBibTeX XMLCite \textit{T. E. Faver} and \textit{H. J. Hupkes}, Physica D 410, Article ID 132538, 50 p. (2020; Zbl 1495.34021) Full Text: DOI arXiv
Lustri, Christopher J. Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation. (English) Zbl 1453.82045 Physica D 402, Article ID 132239, 13 p. (2020). MSC: 82C20 37K40 34A33 PDFBibTeX XMLCite \textit{C. J. Lustri}, Physica D 402, Article ID 132239, 13 p. (2020; Zbl 1453.82045) Full Text: DOI arXiv
Herrmann, Michael; Matthies, Karsten Nonlinear and nonlocal eigenvalue problems: variational existence, decay properties, approximation, and universal scaling limits. (English) Zbl 1512.47085 Nonlinearity 33, No. 8, 4046-4074 (2020). MSC: 47J10 45G10 45M05 45C05 49R05 PDFBibTeX XMLCite \textit{M. Herrmann} and \textit{K. Matthies}, Nonlinearity 33, No. 8, 4046--4074 (2020; Zbl 1512.47085) Full Text: DOI
Faver, Timothy E. Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices. (English) Zbl 1458.37079 Q. Appl. Math. 78, No. 3, 363-429 (2020). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 34A33 35C07 35C08 35Q53 74J35 PDFBibTeX XMLCite \textit{T. E. Faver}, Q. Appl. Math. 78, No. 3, 363--429 (2020; Zbl 1458.37079) Full Text: DOI arXiv
Bauer, Roman; Cummings, Patrick; Schneider, Guido A model for the periodic water wave problem and its long wave amplitude equations. (English) Zbl 1442.35322 Henry, David (ed.) et al., Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 – December 7, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 123-138 (2019). MSC: 35Q35 35Q53 35Q55 76B15 PDFBibTeX XMLCite \textit{R. Bauer} et al., in: Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 -- December 7, 2017. Cham: Birkhäuser. 123--138 (2019; Zbl 1442.35322) Full Text: DOI Link
Giardetti, Nickolas; Shapiro, Amy; Windle, Stephen; Wright, J. Douglas Metastability of solitary waves in diatomic FPUT lattices. (English) Zbl 1432.37102 Math. Eng. (Springfield) 1, No. 3, 419-433 (2019). MSC: 37L60 37K60 PDFBibTeX XMLCite \textit{N. Giardetti} et al., Math. Eng. (Springfield) 1, No. 3, 419--433 (2019; Zbl 1432.37102) Full Text: DOI
Wattis, Jonathan A. D. Asymptotic approximations to travelling waves in the diatomic Fermi-pasta-Ulam lattice. (English) Zbl 1441.82014 Math. Eng. (Springfield) 1, No. 2, 327-342 (2019). MSC: 82C20 35Q53 35C07 PDFBibTeX XMLCite \textit{J. A. D. Wattis}, Math. Eng. (Springfield) 1, No. 2, 327--342 (2019; Zbl 1441.82014) Full Text: DOI
Herrmann, Michael; Matthies, Karsten Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains. (English) Zbl 1428.37070 Trans. Am. Math. Soc. 372, No. 5, 3425-3486 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K40 70H14 74H10 PDFBibTeX XMLCite \textit{M. Herrmann} and \textit{K. Matthies}, Trans. Am. Math. Soc. 372, No. 5, 3425--3486 (2019; Zbl 1428.37070) Full Text: DOI arXiv
Faver, Timothy E.; Wright, J. Douglas Exact diatomic Fermi-Pasta-Ulam-Tsingou solitary waves with optical band ripples at infinity. (English) Zbl 1381.37092 SIAM J. Math. Anal. 50, No. 1, 182-250 (2018). MSC: 37K60 37L60 37L50 74J35 PDFBibTeX XMLCite \textit{T. E. Faver} and \textit{J. D. Wright}, SIAM J. Math. Anal. 50, No. 1, 182--250 (2018; Zbl 1381.37092) Full Text: DOI arXiv
Düll, Wolf-Patrick; Kashani, Kourosh Sanei; Schneider, Guido The validity of Whitham’s approximation for a Klein-Gordon-Boussinesq model. (English) Zbl 1357.35015 SIAM J. Math. Anal. 48, No. 6, 4311-4334 (2016). MSC: 35A35 PDFBibTeX XMLCite \textit{W.-P. Düll} et al., SIAM J. Math. Anal. 48, No. 6, 4311--4334 (2016; Zbl 1357.35015) Full Text: DOI arXiv
Kabil, Buğra; Rodrigues, L. Miguel Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems. (English) Zbl 1382.35135 J. Differ. Equations 260, No. 3, 2994-3028 (2016). MSC: 35K57 34K31 35B10 35B25 35B35 37K60 39A12 39A23 PDFBibTeX XMLCite \textit{B. Kabil} and \textit{L. M. Rodrigues}, J. Differ. Equations 260, No. 3, 2994--3028 (2016; Zbl 1382.35135) Full Text: DOI arXiv
Herrmann, Michael; Mikikits-Leitner, Alice KdV waves in atomic chains with nonlocal interactions. (English) Zbl 1343.37076 Discrete Contin. Dyn. Syst. 36, No. 4, 2047-2067 (2016). Reviewer: Natalia Bondarenko (Saratov) MSC: 37K60 37K40 PDFBibTeX XMLCite \textit{M. Herrmann} and \textit{A. Mikikits-Leitner}, Discrete Contin. Dyn. Syst. 36, No. 4, 2047--2067 (2016; Zbl 1343.37076) Full Text: DOI arXiv
Gaison, Jeremy; Moskow, Shari; Wright, J. Douglas; Zhang, Qimin Approximation of polyatomic FPU lattices by KdV equations. (English) Zbl 1317.37100 Multiscale Model. Simul. 12, No. 3, 953-995 (2014). MSC: 37L60 37L50 74J35 35B27 35C08 35Q53 PDFBibTeX XMLCite \textit{J. Gaison} et al., Multiscale Model. Simul. 12, No. 3, 953--995 (2014; Zbl 1317.37100) Full Text: DOI Link
Chong, Christopher; Kevrekidis, P. G.; Schneider, Guido Justification of leading order quasicontinuum approximations of strongly nonlinear lattices. (English) Zbl 1307.35256 Discrete Contin. Dyn. Syst. 34, No. 9, 3403-3418 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q53 34K31 35L65 35L67 35Q55 35Q70 74E20 PDFBibTeX XMLCite \textit{C. Chong} et al., Discrete Contin. Dyn. Syst. 34, No. 9, 3403--3418 (2014; Zbl 1307.35256) Full Text: DOI arXiv