In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

Electron-positron plasmas appear in the early Universe and many cosmic environments. In
this paper, a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …

A fractal modification of the modified KdV–Zakharov–Kuznetsov equation is suggested and
its fractal generalized variational structure is established by means of the semi-inverse …

The propagation of three-dimensional nonlinear irrotational flow of an inviscid and
incompressible fluid of the long waves in dispersive shallow-water approximation is …

In this paper, a new generalized exponential rational function method is employed to extract
new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits …

Shallow water waves are one of the most prominent and widely used waves in coastal
areas. The anomalous bi-directional transmission of long waves over shallow water is …

Nonlinear fractional-order partial differential equations are an important tool in science and
engineering for explaining a wide range of nonlinear processes. We consider the nonlinear …

In this paper, the first integral method and the functional variable method are used to
establish exact traveling wave solutions of the space–time fractional Schrödinger–Hirota …

In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum
mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many …

Abstract The (2+ 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-
Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long …