Abstract
In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our system into an ODE. We investigate multiwaves, periodic cross-kink, rational, and interaction solutions by the combination of rational, trigonometric, and various bilinear functions. Furthermore, 3D, 2D, and relevant contour plots are presented for the natural evolution of the gained solutions under the selection of proper parameters.
Highlights
Various real phenomena have been formulated by integer-order nonlinear partial differential equations (NPDEs)
It is not enough to use integer order where the nonlocal property does not appear in these forms, so different models have been systematized in fractional NPDEs to determine that kind of similarity [1]
Seadawy et al studied a variety of exact solutions with modified Kudraysov and hyperbolic-function scheme for ion sound and Langmuir waves (ISLWs) [38]
Summary
Various real phenomena have been formulated by integer-order nonlinear partial differential equations (NPDEs). To use most of these schemes, one needs fractional operator to transform the fractional forms into nonlinear ODEs with integer orders such as conformable fractional derivative, Caputo, Caputo–Fabrizio definition, Riemann–Liouville derivatives, and so on [11,12,13,14,15,16,17,18,19,20,21,22,23,24] These operators have been applied to estimate the numeric and exact solutions of fractional order NPDEs through different.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
