3 papers
nlin.PS2026
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…
nlin.PS2024
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…
nlin.PS2024
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…