Similarity solutions of nonlinear third-order dispersive PDEs: The first critical exponent

Koçak, Hüseyin

doi:10.1016/j.aml.2017.05.019

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Cited by 7 publications

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“…(1), respectively. There have been many cooperative combinations of dispersion with the different terms, such as dissipation, convection, diffusion and reaction [11][12][13][14][15]. Here, by combining the gKdV equation [2][3][4][5][6][7][8] with the Fisher-type (or KPP-type) nonlinearity [16][17][18][19][20][21][22][23], we call Eq.…”

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confidence: 99%

Kink and anti-kink wave solutions for the generalized KdV equation with Fisher-type nonlinearity

Koçak

2021

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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This paper proposes a new dispersion-convection-reaction model, which is called the gKdV-Fisher equation, to obtain the travelling wave solutions by using the Riccati equation method. The proposed equation is a third-order dispersive partial differential equation combining the purely nonlinear convective term with the purely nonlinear reactive term. The obtained global and blow-up solutions, which might be used in the further numerical and analytical analyses of such models, are illustrated with suitable parameters.

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