This article presents a numerical investigation of overtaking collisions between two solitary
waves in the context of the Schamel equation. Our study reveals different regimes …

Algebraic soliton interactions with an external force in the presence of Reynolds viscosity is
investigated. In the absence of an external force, the soliton amplitude decays over time …

The aim of this work is to study asymptotically and numerically the interaction of solitons with
an external forcing with a variable speed using the forced modified Korteweg–de Vries …

Solitary wave dynamics is investigated under the assumption of small dissipation and an
external random force. Through a change of variables, the problem becomes homogeneous …

This study aims to investigate the interactions of solitons with an external force within the
framework of the Schamel equation, both asymptotically and numerically. By utilizing …

In this work we asymptotically and numerically studied the interaction of large amplitude
solitary waves with an external periodic force using the forced extended Korteweg-de Vries …

This paper concerns the interaction between solitary waves on the surface of an ideal fluid
and a localized external force, which models a moving disturbance on the free surface or an …

This study aims to explore the complex interactions between an internal solitary wave and
an external force using the Benjamin-Ono equation as the theoretical framework. The …

In this work, we examine the classical Burgers equation and investigate the effects of a
random force on the wave field. Two scenarios are considered: the impact of a random force …

Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated
using the Benjamin-Ono equation. The random force is modeled as a Fourier series with a …