The work studies some integrable properties and soliton type solutions of a non-
autonomous Gardner equation with dam** and forcing terms. A bilinear form, a bilinear …

This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-
Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize …

Under investigation in this paper is a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-
Schiff equation in fluid mechanics/plasma physics. Painlevé integrability is investigated …

Today, most of the real physical world problems can be modeled with variable-coefficient
KdV–modified KdV (vcKdV–mKdV) equation. Besides, the solution methods and their …

In this paper, we investigate a damped variable-coefficient fifth-order modified Korteweg–de
Vries equation for the small-amplitude surface waves in a strait or large channel of slowly …

The n-fold Darboux transformation T_ n T n of the focusing real modified Korteweg–de Vries
(mKdV) equation is expressed in terms of the determinant representation. Using this …

The propagation of dust ion acoustic solitary waves (DIASWs) is investigated in dusty
plasma with non-Maxwellian electrons. The Korteweg-de Vries (KdV) equation and modified …

The current paper studies the influence of the temperature ratio of ion-to-electron α, dust
concentration μ, and κ-deformed parameter on dust ion acoustic solitary waves in an …

In this paper, numerical solutions of the variable-coefficient Korteweg-De Vries (vcKdV)
equation with space described by the Caputo fractional derivative operator is developed …

In this paper, we propose a computational method for nonlinear partial differential equations
modeling ion-acoustic waves as well as dusty plasmas in laboratory and space sciences …