Browsing by Subject "Phase plane theory"
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 ... -
Invariant soliton solutions for the coupled nonlinear Schr�dinger type equation
(Elsevier B.V., 2022-12-08)The Schr�dinger equation is an essential model in quantum mechanics. It simulates fascinating nonlinear physical phenomena, such as shallow-water waves, hydrodynamics, harmonic oscillator, nonlinear optics, and quantum ...