On the soliton structures of the space-time conformable version of (n+1)-dimensional generalized Kadomtsev-Petviashvili (KP) equation

Abstract

In this work, various types of soliton solutions for space-time conformable version of (n+1)-dimensional generalized Kadomtsev-Petviashvili (KP) equation were constructed via the approach of modified extended tanh. The derivatives involved were defined to reflect the sense of space-time conformable derivatives. Furthermore, with the help of a fractional wave transformation, the conformable KP equation was reduced into an ODE of a polynomial nature. Mathematica software was used to obtain a system of algebraic equations and then solved. Finally, a graphical illustration for some of the obtained results were provided to show the effect various values of order of the conformable derivative, alpha (alpha) as well as k, (the sum of linear terms in the equation).