Exact solitary wave solutions of time fractional nonlinear evolution models: a hybrid analytic approach

Abstract

In this article, we propose efficient techniques for solving fractional differential equations such as KdV-Burgers, Kadomtsev-Petviashvili, Zakharov- Kuznetsov with less computational efforts and high accuracy for both numerical and analytical purposes. The general exp_a-function method is employed to reckon with new exact solitary wave solutions of time-fractional nonlinear evolution equations (NLEEs) stemming from mathematical physics. Fractional complex transformation in conjunction with a modified Riemann-Liouville operator is used to tackle the fractional sense of the accompanying problems. A comparison between the existing conventional exp-function method and the improved exp-function method shows that the proposed recipe is more productive in terms of obtaining analytical solutions. The graphical depictions of extracted information show a strong relationship between fractional-order outcomes with those of classical ones.