A note on the improved tan(ϕ(ξ)/2)-expansion method

SITEM for the Conformable Space-Time fractional (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov Equations

“…Simulations of the kink wave, solitary wave and periodic wave solutions of the conformable space-time fractional ANNV equations have been obtained. Note that SITEM has been applied to the Kundu-Eckhaus equation for the parameter p = 0 in [26] and Konopelchenko-Dubrovsky equations for the nonzero parameter p in [27]. To our knowledge, conformable fractional ANNV equations have been solved for only time fractional case.…”

“…2 )-expansion method (ITEM) has been applied by many authors [23]- [25]. In [26], ITEM has been simplified and called simplified ITEM (SITEM). SITEM has been applied to the Kundu-Eckhaus equation and Konopelchenko-Dubrovsky equations Email addresses and ORCID numbers: hcerdik@pau.edu.tr, https://orcid.org/0000-0002-3243-3703 (H. Ç erdik Yaslan), aysegirgin20@gmail.com, http://orcid.org/0000-0002-2972-7583 (A. Girgin) in [26,27], respectively.…”

“…In [26], ITEM has been simplified and called simplified ITEM (SITEM). SITEM has been applied to the Kundu-Eckhaus equation and Konopelchenko-Dubrovsky equations Email addresses and ORCID numbers: hcerdik@pau.edu.tr, https://orcid.org/0000-0002-3243-3703 (H. Ç erdik Yaslan), aysegirgin20@gmail.com, http://orcid.org/0000-0002-2972-7583 (A. Girgin) in [26,27], respectively. In this paper, we obtain new analytical solutions of the space-time fractional (2+1)-dimensional ANNV equations by using SITEM.…”

Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique

“…In order to find the exact solutions of nonlinear PDEs, many powerful methods have been developed. A few of the methods are: the sub-equation method [8][9][10], the modified simple equation method [11], the exp(−φ(ξ)) method [12,13], homotopy analysis method [14,15] , first integral method [16,17], G/G expansion method [18][19][20], the functional variable method [21,22], the improved tan φ 2 -expansion method [23,24], etc.…”

Application of the improved tan(?(?)/2)-expansion method for solving date-Jimbo-Kashiwara-Miwa equation

“…Sajid and Akram [4] applied exp(−Φ(ξ )) method to the equation and investigated the exact solutions. In the literature, many authors have noted the c 2019 BISKA Bilisim Technology importance of the method and present articles about the method, further knowledge see in references and there in [5,6,7,8,9].…”