Search Results - "Seadawy, A. R."

Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations by Seadawy, A. R., Sayed, A.

“…The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM)…”
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Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations by Seadawy, A. R., El-Rashidy, K.

“…An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of…”
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Classification of Multiply Travelling Wave Solutions for Coupled Burgers, Combined KdV-Modified KdV, and Schrödinger-KdV Equations by Seadawy, A. R., El-Rashidy, K.

“…Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented. By…”
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Variational method for the nonlinear dynamics of an elliptic magnetic stagnation line by KHATER, A. H, CALLEBAUT, D. K, HELAL, M. A, SEADAWY, A. R

“…The nonlinear evolution of the kink instability of a plasma with an elliptic magnetic stagnation line is studied by means of an amplitude expansion of the…”
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New exact solutions for the KdV equation with higher order nonlinearity by using the variational method by Seadawy, A.R.

“…The Korteweg–de Vries (KdV) equation with higher order nonlinearity models the wave propagation in one-dimensional nonlinear lattice. A higher-order extension…”
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Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations by Seadawy, A. R., Amer, W., Sayed, A.

“…The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the…”
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A domain of influence in the Moore-Gibson-Thompson theory of dipolar bodies by Marin, M., Othman, M. I. A., Seadawy, A. R., Carstea, C.

“…We establish a domain of influence theorem for the mixed initial-boundary value problem in the context of the Moore-Gibson-Thompson theory of thermoelasticity…”
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Benjamin–Feir instability in nonlinear dispersive waves by Helal, M.A., Seadawy, A.R.

“…In this paper, the authors extended the derivation to the nonlinear Schrödinger equation in two-dimensions, modified by the effect of non-uniformity. The…”
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Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation by Helal, M.A., Seadawy, A.R., Zekry, M.H.

“…In the present study, the nonlinear Boussinesq type equation describe the bi-directional propagation of small amplitude long capillary–gravity waves on the…”
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Variational method for the derivative nonlinear Schrödinger equation with computational applications by Helal, M A, Seadawy, A R

“…The derivative nonlinear Schrodinger equation (DNLSE) arises as a physical model for ultra-short pulse propagation. In this paper, the existence of a…”
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Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation by Rizvi, S. T. R., Seadawy, A. R., Ashraf, M. A., Bashir, A., Younis, M., Baleanu, Dumitru

“…In this article, we construct multi-wave, homoclinic breather, M -shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by…”
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Nonlinear Dispersive Instabilities in Kelvin–Helmholtz Magnetohydrodynamic Flows by Khater, A H, Callebaut, D K, Seadawy, A R

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Water wave solutions of Zufiria’s higher-order Boussinesq type equations and its stability by Seadawy, A.R., El-Kalaawy, O.H., Aldenari, R.B.

“…The weakly nonlinear Hamiltonian theory for two-dimensional irrotational shallow water waves is formulated. Zufiria’s higher-order Boussinesq model for waves…”
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Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows by Khater, A H, Callebaut, D K, Malfliet, W, Seadawy, A R

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General Soliton Solutions of an n-Dimensional Complex Ginzburg–Landau Equation by Khater, A H, Callebaut, D K, Seadawy, A R

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General soliton solutions for nonlinear dispersive waves in convective type instabilities by Khater, A H, Callebaut, D K, Seadawy, A R

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Stability analysis for Zakharov–Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma by Seadawy, A.R.

“…The Zakharov–Kuznetsov (ZK) equation is an isotropic nonlinear evolution equation, first derived for weakly nonlinear ion-acoustic waves in a strongly…”
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Traveling wave solutions for some coupled nonlinear evolution equations by Seadawy, A.R., El-Rashidy, K.

“…In the present paper, an extended algebraic method is used for constructing exact traveling wave solutions for some coupled nonlinear evolution equations. By…”
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Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma by Seadawy, A.R., El-Rashidy, K.

“…The Kadomtsev-Petviashvili (KP) and modified KP equations are two of the most universal models in nonlinear wave theory, which arises as a reduction of system…”
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Travelling wave solutions of Drinfel’d–Sokolov–Wilson, Whitham–Broer–Kaup and (2+1)-dimensional Broer–Kaup–Kupershmit equations and their applications by Arshad, M., Seadawy, A.R., Lu, Dianchen, Wang, Jun

“…•The hydrodynamic model is applied to the coupled DSW, WBK, BKK equations.•New exact solutions for the nonlinear coupled DSW, WBK, BKK equations are…”
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