Lattice solitary traveling waves are nonlinear coherent structures that describe fundamental
mechanisms of energy transport and signal transmission in many physical settings. This …

We consider a version of the classical Hamiltonian FPU (Fermi–Pasta–Ulam) problem with
nonlinear force-strain relation in which a hardening response is taken over by a softening …

In this work, we report the observation of a kinked structure in single-layer graphene through
phonon wave packet simulations. The observed kinked structure agrees very well with the …

Steadily moving transition (switching) fronts, associated with local transformation, symmetry
breaking, or collapse, are among the most important dynamic coherent structures. The …

We consider a version of the classical Hamiltonian Fermi-Pasta-Ulam (FPU) problem with a
trilinear force-strain relation of soft-hard-soft type that is in general non-symmetric. In …

We consider a version of the classical Hamiltonian FPU (Fermi-Pasta-Ulam) problem with
nonlinear force-strain relation in which a hardening response is taken over by a softening …

It is well known that the Korteweg-de Vries (KdV) equation and its generalizations serve as
modulation equations for traveling wave solutions to generic Fermi-Pasta-Ulam-Tsingou …

Steady transition fronts in nonlinear lattices are among the most important dynamic coherent
structures. We use the Fermi-Pasta-Ulam model with piecewise linear nonlinearity to show …