INVESTIGATION OF THE FRACTIONAL KdV–ZAKHAROV–KUZNETSOV EQUATION ARISING IN PLASMA PHYSICS
Kang‐Le Wang
Abstract
The KdV–Zakharov–Kuznetsov equation is an important and interesting mathematical model in plasma physics, which is used to describe the effect of magnetic field on weak nonlinear ion-acoustic waves. A fractional KdV–Zakharov–Kuznetsov equation in the [Formula: see text]-truncated derivative sense is investigated. By taking into account the fractional [Formula: see text] method and fractional [Formula: see text]–[Formula: see text] method, larger numbers of a new type of solitary wave solutions are obtained. The dynamic characteristics of these new solitary wave solutions are elaborated by sketching some three-dimensional (3D) and two-dimensional (2D) figures. The study reveals that the proposed two methods are very powerful to solve fractional evolution equations.