This paper explores a novel generalized one-dimensional fractional order Granular
equation with the effect of periodic forced term. This type of equation arises in different area …

The study of mechanics of granular media dates back to the era of Coulomb. He was the first
to postulate the yield condition for homogeneous solids and also conditions for failure in …

We consider a class of fully nonlinear Fermi–Pasta–Ulam (FPU) lattices, consisting of a
chain of particles coupled by fractional power nonlinearities of order α> 1. This class of …

Consider an infinite chain of masses, each connected to its nearest neighbors by a
(nonlinear) spring. This is a Fermi–Pasta–Ulam–Tsingou lattice. We prove the existence of …

We study wave propagation in strongly nonlinear one-dimensional diatomic granular
crystals under an impact load. Depending on the mass ratio of the “light” to “heavy” beads …

We study the existence of solitary waves in a diatomic Fermi--Pasta--Ulam--Tsingou (FPUT)
lattice. For monatomic FPUT the traveling wave equations are a regular perturbation of the …

We study the existence of traveling waves in a spring dimer Fermi-Pasta-Ulam-Tsingou
(FPUT) lattice. This is a one-dimensional lattice of identical particles connected by …

We use a specialized boundary-value problem solver for mixed-type functional differential
equations to numerically examine the landscape of traveling wave solutions to the diatomic …

Abstract The diatomic Fermi–Pasta–Ulam–Tsingou (FPUT) lattice is an infinite chain of
alternating particles connected by identical nonlinear springs. We prove the existence of …

We explore the possibility of multi‐site breather states in a nonlinear Klein–Gordon lattice to
become nonlinearly unstable, even if they are found to be spectrally stable. The mechanism …