On the exact and numerical solutions to a new (2 + 1)-dimensional Korteweg-de Vries equation with conformable derivative

Abstract The aim of this paper is to introduce a novel study obtaining exact solutions the (2+1) - dimensional conformable KdV equation modeling amplitude shallow-water waves in fluids or electrostatic wave potential plasmas. reduction governing simpler ordinary differential by transformation first step procedure. By using improved tan ( ? /2)-expansion method (ITEM) and Jacobi elliptic function expansion method, including hyperbolic solution, rational soliton traveling periodic solution considered have been obtained. We achieve also numerical corresponding initial value problem variational iteration (C-VIM) give comparative results tables. Moreover, Maple, some graphical simulations are done see behavior these with choosing suitable parameters.