SITEM for the Conformable Space-Time Fractional Coupled KD Equations

Yaslan, H. Çerdik; Girgin, Ayşe

doi:10.30931/jetas.452732

Cited by 2 publications

(4 citation statements)

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“…[2]. Therefore, solving fractional KdV equations in the sense of different fractional derivatives has attracted scientists, and they have found solutions for the time, space, or space-time fractional KdV equation utilizing different techniques and methods [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The general form of the fractional KdV equation is…”

Section: Introductionmentioning

confidence: 99%

Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation

Bayram

2023

Fractal Fract

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The extended Kawahara (Gardner Kawahara) equation is the improved form of the Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution equations in mathematical physics. In that research, the analytical solutions of the conformable fractional extended Kawahara equation were acquired by utilizing the Jacobi elliptic function expansion method. The given expansion method was applied to different fractional forms of the extended Kawahara equation, such as the fraction that occurs in time, space, or both time and space by suitably changing the variables. In addition, various types of fractional problems are exhibited to expose the realistic application of the given method, and some of the obtained solutions were illustrated in two- or three-dimensional graphics as proof of the visualization.

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Section: Introductionmentioning

confidence: 99%

Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation

Bayram

2023

Fractal Fract

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“…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.…”

Section: Resultsmentioning

confidence: 99%

“…The solution of Eq. (3.8) has been given in [27]. Substituting Eq.…”

Section: Analytic Solutions To the Conformable Space-time Fractional Annv Equationsmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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