Certain hybrid prototypes of dispersive optical solitons that we are looking for can
correspond to new or future behaviors, observable or not, developed or will be developed by …

Considered under their standard form, the fifth-order KdV equations are a sort of reading
table on which new prototypes of higher order solitary waves residing there, have been …

Some types of rational fractions are considered. We have proposed new formulas for the
decomposition of these rational fractions without having to deal with the powers of $ x $ as is …

Abstract The Camassa–Holm equation governs the dynamics of shallow water waves or in
its reduced form models nonlinear dispersive waves in hyperelastic rods. By using the …

This work is dedicated to the construction of solitary wave solutions of the KdV-Burgers-
Kuramoto equation. The peculiarity of the solutions obtained for this purpose is that they …

In this paper, the fractional generalized Kuramoto-Sivashinsky (FGKS) equation is derived
using the semi-inverse technique. The FGKS equation is familiar and often occurs in nature …

The quintessence of this work articulates around the construction of the solitary wave
solutions of the generalized Kuramoto-Sivashinsky equation presenting a generalized non …

The major concern of this work is to propose new prototypes of surface hybrid waves, in
particular waves propagating without sprawl or deformation on the surface of a fluid. The …

Propagation of dust ion-acoustic (DIA) Gardner wave in a dusty electron–positron–ion (e–p–
i) plasma is investigated. This plasma consists of q-distributed electrons and positrons, warm …

This work proposes the construction of a prototype of pulse-kink hybrid solitary waves with a
strong Kink dosage of the Sasa-Satsuma equation which describes the dynamics of the …