Nonlinear vibrations in lattice systems represent a fascinating departure from conventional harmonic behaviour, where the classical linear superposition principle is supplanted by complex dynamics ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

One example is a wave in shallow water. Though governed by classical hydrodynamics, shallow water waves can have waveforms ...

This paper is a continuation of our study on doubly nonlinear parabolic type equations that was initiated by a previous paper; it is however self-contained. We propose here to investigate a time ...

The success of these results proves a robust dynamic model of the REP and its tissue interactions without the need to model complex and computationally expensive viscoelastic material properties or ...

The UB Department of Mathematics is pleased to announce that Professor Barbara Prinari is co-founder and deputy editor of Cambridge Core's Journal of Nonlinear Waves. Prinari's research adds ...

We present a first-order system least-squares (FOSLS) method to approximate the solution to the equations of geometrically nonlinear elasticity in two dimensions. With assumptions of regularity on the ...