2019
DOI: 10.1186/s13662-019-2429-1
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Abstract: In this article, the authors apply the Lie symmetry approach and the modified (G /G)-expansion method for seeking the solutions of time-dependent coupled KdV-Burgers equation. Using suitable similarity transformations, the time-dependent coupled KdV-Burgers equation is reduced to a system of nonlinear ordinary differential equations. Further, the reduced system of nonlinear ordinary differential equations for the coupled KdV equation is solved with the help of the modified (G /G)-expansion method to obtain sol… Show more

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Cited by 4 publications
(2 citation statements)
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References 37 publications
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“…In this section, equivalent to each subalgebras, we obtained the reduced system of nonlinear ordinary differential equations 29–31 in the form of similarity variable ' ξ ' and the corresponding dependent variables ϒ 1 , Ζ 1 and ϒ 2 , Ζ 2 . Further, new complex soliton solutions of the coupled complex short pulse Equation are obtained by solving the reduced ordinary differential equations.…”
Section: Reduced Systems and Complex Soliton Solutions Of Coupled Commentioning
confidence: 99%
“…In this section, equivalent to each subalgebras, we obtained the reduced system of nonlinear ordinary differential equations 29–31 in the form of similarity variable ' ξ ' and the corresponding dependent variables ϒ 1 , Ζ 1 and ϒ 2 , Ζ 2 . Further, new complex soliton solutions of the coupled complex short pulse Equation are obtained by solving the reduced ordinary differential equations.…”
Section: Reduced Systems and Complex Soliton Solutions Of Coupled Commentioning
confidence: 99%
“…Ngo et al, in [7], proved the existence and uniqueness results of solutions for initial value problem under fuzzy Caputo-Katugampola fractional derivatives. For many basic works related to the nonlinear ordinary differential equations and the fuzzy fractional differential equations, we refer the readers to [8][9][10][11][12][13] and references therein.…”
Section: Introductionmentioning
confidence: 99%