Persistence of supersonic periodic solutions for chains with anharmonic interaction potentials between neighbours and next to nearest neighbours

Christine Venney, Johannes Zimmer

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/fafad44e-87ea-4c7f-9c5c-efc7412ca15f • DOI: https://doi.org/10.1080/14689367.2011.620565

We consider an infinite chain of particles with nearest neighbour (NN) and next to nearest neighbour (NNN) being coupled by nonlinear springs. To mimic the Lennard–Jones potential, the NN and NNN springs act against each other. We prove that in contrast to the NN interaction case, there are supersonic periodic solutions.