37 citations · 168 across the 15 of their papers we have counts for
15 papers
Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity
Mark A. Hoefer, Anna Vainchtein
A regularized Boussinesq equation is studied as a dispersive, long-wave (quasicontinuum) approximation of the Fermi-Pasta-Ulam lattice with a general cubic interaction force. Expli…
Solitary waves and kinks in FPU lattices with soft-hard-soft trilinear interactions
Anna Vainchtein, Lev Truskinovsky
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…
When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs
Anna Vainchtein, Lev Truskinovsky
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 re…
Discrete breathers in a mechanical metamaterial
H. Duran, J. Cuevas-Maraver, P. G. Kevrekidis +1
We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges.…
Transition fronts and their universality classes
N. Gorbushin, A. Vainchtein, L. Truskinovsky
Steadily moving transition (switching) fronts, bringing local transformation, symmetry breaking or collapse, are among the most important dynamic coherent structures. The nonlinear…
Stability of traveling waves in a driven Frenkel-Kontorova model
A. Vainchtein, J. Cuevas-Maraver, P. G. Kevrekidis +1
In this work we revisit a classical problem of traveling waves in a damped Frenkel-Kontorova lattice driven by a constant external force. We compute these solutions as fixed points…