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

We study nonlinear waves in Newton's cradle, a classical mechanical system consisting of a
chain of beads attached to linear pendula and interacting nonlinearly via Hertz's contact …

The paper is devoted to traveling waves in FPU type particle chains assuming that each
particle interacts with several neighbors on both sides. Making use of variational techniques …

This paper concerns the existence of generalized solitary waves (solitary waves with small
ripples at infinity) for a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. It is proved that …

We consider atomic chains with nearest neighbour interactions and study periodic travelling
waves and homoclinic travelling waves, which are called wavetrains and solitons …

1 2 p2 n+ U (qn+ 1− qn)), where pn= qn is the momentum. After the pioneering work by E.
Fermi, J. Pasta and S. Ulam [3], such systems became of common interest due to their …

The focus of study is the nonlinear discrete sine-Gordon equation, where the nonlinearity
refers to a nonlinear interaction of neighbouring atoms. The existence of travelling …

We consider infinite Fermi–Pasta–Ulam-type atomic chains with general convex potentials
and study the existence of monotone fronts that are heteroclinic travelling waves connecting …

We study a chain of infinitely many particles coupled by nonlinear springs, obeying the
equations of motion ̈ q _n= V'(q_ n+ 1-q_n)-V'(q_n-q_ n-1) q¨ n= V′(qn+ 1-qn)-V′(qn-qn …

We report on the existence of boomerons in a 1-D periodic lattice with no on-site potentials.
Following an impact, a spatially localized wave phenomenon forms. This envelope wave …