We study nonlinear waves in a two-layered imperfectly bonded structure using a nonlinear
lattice model. The key element of the model is an anharmonic chain of oscillating dipoles …

Long time dynamics of the smoothed step initial value problem or dispersive Riemann
problem for the Benjamin‐Bona‐Mahony (BBM) equation are studied using asymptotic …

Both theoretical investigations and successful experimental research were performed
recently, confirming the existence and demonstrating the main properties of bulk strain …

The three wave resonant interaction model (3WRI) is a non-dispersive system with quadratic
coupling between the components that finds application in many areas, including nonlinear …

We outline a program to classify domain walls (DWs) and vector solitons in the 1D two-
component coupled nonlinear Schrödinger (CNLS) equation without restricting the signs or …

We derive a set of two fourth-order coupled nonlinear Schrödinger equations describing the
evolution of two two-dimensional systems of deep-water gravity waves with different …

We consider the initial-value problem for a system of coupled Boussinesq equations on the
infinite line for localised or sufficiently rapidly decaying initial data, generating sufficiently …

The modulation instability of continuous waves for a system of four coupled nonlinear
Schrödinger equations, two of which are in the unstable regime, is studied. In earlier studies …

Many practical approximations in science and engineering invoke a relatively long physical
domain with a relatively thin cross-section. In this scenario, we typically expect the system to …

In this paper, we construct a weakly‐nonlinear d'Alembert‐type solution of the Cauchy
problem for the Boussinesq‐Klein‐Gordon (BKG) equation. Similarly to our earlier work …