General Expa-function method for nonlinear evolution equations

Some Remarks on Exp-Function Method and Its Applications

“…Nowadays, being very popular, some authors put forth new modifications of the Exp-function method to tackle various kinds of nonlinear problems; just to mention a few, multi-dimensional equations, [18−19] coupled NEEs, [20] differential-difference equations, [21] stochastic equations, [22] NEEs with variable coefficients, [23] n-soliton solutions, [24−27] a multiple-exp function method, [28] rational solutions, [29] and a general Exp a -function method. [30] On the other hand, Kudryashov [31−36] and Parkes [37−39] have been constantly alerting the scientific community for equivalent, disguised, and incorrect results.…”

High-Order Dispersive Cubic-Quintic Schrödinger Equation and Its Exact Solutions

“…The countless applications of nonlinear evolution equations (NLEEs) in diverse scientific fields have attracted the attention of many academic scholars to search and analyze their exact solutions. In this respect, various methods such as the Kudryashov method [1][2][3][4][5][6][7], tanh-coth method [8,9], modified simple equation method [10,11], sine-cosine method [12,13], transformed rational function method [14,15], ansatz method [16,17], auxiliary equation method [18,19], semi-inverse variational method [20,21], and exp a -function method [22][23][24] have been utilized to solve and handle the NLEEs.…”

A Variety of Explicit Exact and Soliton Type Solutions of Conformable Fractional Equal-Width Equations

“…2 )-expansion methods and the exp function approach have been explored for discrete and fractional order PDEs as well. In particular, Ali and Hassan, Hosseini et al, Zayed and Al-Nowehy all have utilized the exp a function method in [37][38][39][40] respectively. Furthermore, the hyperbolic function approach has been explored in [39,41,42] to procure exact solutions of nonlinear PDEs.…”