Acoustic/elastic metamaterials exhibit a wealth of unusual properties conducive to wave
manipulation. This review outlines state-of-the-art developments from FPUT chains, granular …

We consider a higher-order nonlinear Schrödinger amplitude equation with real and
imaginary Raman gain terms. This equation is shown to govern the propagation of …

Despite the widespread use of transcendental functions in the modeling of the dynamics of
DNA, most research efforts are limited in their analytical studies of this enthralling system to …

Traveling waves are studied with a longitudinal dust grain oscillation in dusty plasma
crystals modeled by α, β-Fermi Pasta Ulam Tsingou equation. Within the phonon band of the …

We systematically study the evolution of modulated nerve impulses in a myelinated nerve
fiber, where both the ionic current and membrane capacitance provide the necessary …

During the occurrence of an earthquake, seismic waves usually carry huge amount of
energy through rock materials of the earth crust. By using the method of multiple scale …

By exploiting the theory of electromagnetic waves from Maxwell's equations, the damped
nonlinear Schrödinger (DNLS) equation is shown to govern the evolution of nonlinear …

Unlike Zabusky and Kruskal who exploited the Korteweg–de Vries traveling solitons to
explain the FPU-recurrence phenomenon, we consider a more robust time periodic …

A pair of one dimensional atomic chains which are coupled via the Klein-Gordon potential is
considered in this study, with each chain experiencing both nearest and next-nearest …

The damped nonlinear Schr o¨ dinger equation is derived from the helicoidal Joyeux and
Buyukdagli model of DNA, in which the particles of the surrounding solvent medium induces …