In this article we studied analytically the propagation of nonlinear ion acoustic solitary waves
modeled by the generalized Schamel (GS) equation arising in plasma physics using …

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 …

Abstract The (2+ 1)-dimensional combined Zakharsov-Kuznetsov-modified Zakarsov-
Kuznetsov (ZK-mZK) equation with constant co-efficients are solved by employing the …

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 …

The aim of this work is three fold. First, via a fractional complex transformation and a
simplified bilinear method, N-shock-wave solutions for the variable-coefficient fractal …

Electron acoustic potential structures are generated in the presence of a large-amplitude
electric field in Earth's magnetotail region, Earth's magnetosphere according to the …

The phenomena of propagation of ion-acoustic waves (IAW) in an un-magnetized electron-
ion plasma featuring non-Maxwellian trapped electron distribution, modeled by a kappa …

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 …