Exact solution of perturbed nonlinear Schrödinger equation using ($$G^\prime /$$G, 1/G)-expansion method

Yao, Wen; Xie, Yongan

doi:10.1007/s12043-019-1875-3

Cited by 5 publications

(1 citation statement)

References 15 publications

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“…However, exact solutions of equations in the nonlinear form are not always obtained by classical methods. In recent times, many useful methods and techniques such as the modified simple equation (MSE) method [7], the improved tan(ϕ/2)-expansion method [8], the extended rational sine-cosine method [9], the (G /G, 1/G)-expansion method [10], the improved F-expansion method [11], the modified exp (−φ (ε))-expansion method [12], the first integral method [13], the (G /G)-expansion method [14] etc. have been enhanced to find traveling wave solutions.…”

Section: Introductionmentioning

confidence: 99%

Some New Traveling Wave Solutions of Nonlinear Fluid Models via the MSE Method

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Mısırlı

2021

Fundamental Journal of Mathematics and Applications

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In this study, some new exact wave solutions of nonlinear partial differential equations are investigated by the modified simple equation method. This method is applied to the (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and the (3 + 1)-dimensional Jimbo-Miwa equation. Our applications reveal how to use the proposed method to solve nonlinear partial differential equations with the balance number equal to two. Consequently, some new exact traveling wave solutions of these equations are achieved, and types of waves are determined. To verify our results and draw the graphs of the solutions, we use the Mathematica package program.

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