Waves in granular chains


    Periodic and solitary waves in chains of beads, compactons


  • G. James, Periodic travelling waves and compactons in granular chains, J. Nonlinear Sci. 22 (2012), 813-848.

    Original publication available at link.springer.com. Preprint available on arXiv: pdf file.


  • G. James and D. Pelinovsky, Gaussian solitary waves and compactons in Fermi-Pasta-Ulam lattices with Hertzian potentials, Proc. R. Soc. A. 470 (2165), 2014.

    Original publication available at royalsocietypublishing.org. Preprint available on arXiv: pdf file.



    Stiff Newton's cradle : periodic waves, breathers and surface modes, long-lived breathers


  • G. James, Nonlinear waves in Newton's cradle and the discrete p-Schrödinger equation, Math. Models Meth. Appl. Sci. 21 (2011), 2335-2377.

    Original publication available at www.worldscientific.com. Preprint available on arXiv: pdf file.


  • G. James, J. Cuevas and P.G. Kevrekidis, Breathers and surface modes in oscillator chains with Hertzian interactions, Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications (NOLTA 2012), Palma, Majorca, Spain, 22-26 Oct. 2012, p. 470-473.

    Preprint available on arXiv: pdf file.


  • G. James, P.G. Kevrekidis and J. Cuevas, Breathers in oscillator chains with Hertzian interactions, Physica D 251 (2013), 39-59.

    Original publication available at www.sciencedirect.com. pdf file.


  • B. Bidégaray-Fesquet, E. Dumas and G. James, From Newton's cradle to the discrete p-Schrödinger equation, SIAM J. Math. Anal. 45 (2013), 3404-3430.

    Original publication available at epubs.siam.org. Preprint available on arXiv: pdf file.



    Granular metamaterials with local resonators : bright and dark breathers, long-lived breathers


  • L. Liu, G. James, P. Kevrekidis and A. Vainchtein, Breathers in a locally resonant granular chain with precompression, Physica D 331 (2016), 27-47.

    Original publication available at www.sciencedirect.com. Preprint available on arXiv: pdf file.


  • L. Liu, G. James, P. Kevrekidis and A. Vainchtein, Strongly nonlinear waves in locally resonant granular chains, Nonlinearity 29 (2016), 3496-3527.

    Original publication available at iop.org. Preprint available on arXiv: pdf file.



    Traveling breathers and solitary waves in discrete p-Schrödinger equation, granular metamaterials


  • G. James, Traveling breathers and solitary waves in strongly nonlinear lattices, to appear in Philosophical Transactions of the Royal Society of London A (2018), DOI 10.1098/rsta.2017.0138.