This manuscript investigates the characteristic of integrability of the Zakharov–Kuznetsov
(ZK) equation through the Painlevé analysis in the presence of external periodic forces …

In this paper, the multi-soliton rational solutions are obtained for quantum Zakharov–
Kuznetsov equation in quantum magnetoplasmas via the generalised unified method …

In this paper, we introduce the new nonlinear two-mode coupled Korteweg–de Vries. We
find the necessary conditions of dispersion parameter and the nonlinearity parameter that …

In this paper, we study the system of the two-mode coupled mKdV using the simplified
bilinear method. We find the necessary conditions that make the solutions exists. In addition …

In this paper, we establish a new nonlinear equation which is called the two-mode Korteweg–
de Vries–Burgers equation (TMKdV–BE). The new equation describes the propagation of …

In this paper a generalized fractional modified Korteweg–de Vries (FmKdV) equation with
time-dependent variable coefficients, which is a generalized model in nonlinear lattice …

In this letter, we use the sense made by Korsunsky (Phys Lett A 185: 174–176, 1994) to
establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A …

A new nonlinear partial differential system called two-mode higher-order Boussinesq-
Burgers system is established. We aim to use the simplified bilinear method to find the …

In this paper, we establish a new two-mode coupled Burgers equation (TMCBE). The
necessary conditions that make the multiple kink solutions and the multiple singular kink …

In this paper, a simplified bilinear method combined with a fractional transform has been
used to obtain a new multiple soliton solutions for the Fractional coupled fractional kdV …