Browsing by Subject "Painlev� analysis"
Now showing items 1-3 of 3
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A (2+1)-dimensional combined KdV�mKdV equation: integrability, stability analysis and soliton solutions
(Springer Science and Business Media B.V., 2022-01-10)In this study, the (2+1)-dimensional combined Korteweg�de Vries and modified Korteweg�de Vries equation has been considered for the first time. Firstly, we check the integrability of the governing equation. Then, we generate ... -
A (2+1)-dimensional Kadomtsev�Petviashvili equation with competing dispersion effect: Painlev� analysis, dynamical behavior and invariant solutions
(Elsevier B.V., 2021-03-09)In this paper, we concern ourselves with the nonlinear Kadomtsev�Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlev� analysis. We ... -
A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions
(Springer Science and Business Media B.V., 2022-11-11)In this paper, we consider an extended form of generalized (2 + 1) -dimensional Hirota bilinear equation which demonstrates nonlinear wave phenomena in shallow water, oceanography and nonlinear optics. We have successfully ...