Traveling Wave Solutions of Some Coupled Nonlinear Systems by Sine–Cosine Approach

Travelling Wave-like Solutions for Some Nonlinear Equations with Cubic Nonlinearities

“…In brief, here we prescribe the important steps of the ( F F )-expansion method [13]. Hypothesize that a nonlinear evolution differential equation (NLEEs) is of the form polynomial R as…”

“…Exchanging the second order LODE (10) into the (13) we got wide different category of solutions of ( 8) and the coupled Higgs equation (CHE) as follows: With τ 2 − 4κ > 0,…”

“…Recently, Wang et al [2] developed a new formulation called ( F F )-expansion method for a dependable prescription of nonlinear wave equations. Consequently many more utilisation of this technique have also been reported [9]. A summarized version of ( F F )-expansion formalism is also prescribed recently [10].…”

Analytical solutions of fractional order Newell-Whitehead-Segel equation

“…Many significant and effective techniques have recently been created in order to discover the properties of travelling wave solutions. For instance, variational iteration [10,11], hirota bilinear transformation method [12], sub-equation method [13], backlund transform method [14], sine-cosine method [15][16][17][18], generalized tanhcoth method [19], jacobi elliptic function expansion method [20], adomianos decomposition method [21], the ( G ′ G ) method [22,23], the ( G ′ G , 1 G ) method [24], the modified ( G ′ G 2 )-expansion method [25,26] modified trial function method. [27], and so on.…”