Lie Symmetry Reductions And Wave Solutions Of Coupled Equal Width Wave Equation

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Applied Mathematics and Nonlinear Sciences - Sciendo

Keywords: modified equal-width equation, Lie symmetries, optimal system different techniques and methods to construct travelling wave solutions of (1).

البحوث العلمية

wave solutions of these equations found by existing exact solutions of both the coupled equal width wave equation and the (2+1)-dimensional Nizhnik-No-.

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erate such subspaces by exploiting certain symmetry properties of the wave equations. We illustrate the effectiveness of the resulting reduced-order models 

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by OD Adeyemo 2019 Symmetry analysis of modified equal-width and Burgers equation and thereafter find the travelling wave solution of the equation.

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by S Kumar 2014 Cited by 11 wave hypothesis as well as the Lie symmetry analysis will This is a coupled system of equation where the dependent.7 pages


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by JM Stewart 2002 include nonlinear wave equations (see e.g. Ibragimov & Khabirov 2000) and wave tion using invariant solutions constructed from Lie's classical symmetry 

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by A Bihlo Cited by 18 complete set of point symmetries of the two-layer equations is determined Rossby wave solutions in the two-layer model are rediscovered.

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17 Mar 2021 equation; Lie symmetry reduction; group-invariant solution. 1. Introduction nonlinear wave equations is so-called bifurcations.

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by CM Khalique 2018 Cited by 3 ed equal width-Burgers equation; Lie point symmetries; exact solutions; conservation laws equal width wave equation and the exact analytical so-.

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quantum Zakharov-Kuznetsov equation is reduced into a linear PDE with two The behaviour of the weakly nonlinear ion-acoustic waves in the presence the simplest equation method were used to the Zakharov-Kuznetsov modified equal width equation The system (2.1) admits a Lie point symmetry with generator.

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by CM Khalique 2021 Abstract: In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are 

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by AM Mitofsky A symmetry of an equation is a transformation which does not alter the set of solutions of the equation. In this work, a Lie transformation refers to a 

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by G Wang 2015 Cited by 32 Lie symmetry analysis leads to many plethora of solutions to the equation. related to nonlinear ion-acoustic waves (IAWs) in magnetized.

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by Y Zhang 2017 Cited by 10 reductions, conservation laws, and explicit solutions by using symmetries can simplest equation method and have obtained the traveling wave solutions of  17 pages

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by EME Zayed Cited by 11 Mukherjee Naskar equation via traveling waves and Lie symmetry Painlevé Analysis and a Solution to the Traveling Wave Reduction of the.

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by V Vladimirov 2012 Cited by 7 Stability and dynamical features of solitary wave solutions for a through the symmetry-based reduction of the initial system, 

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by DD Holm 1976 Cited by 14 invariance algebra of the wave equation is constructed and realized as a differential operator algebra. Sample group reducible solutions - which include.


2 Feb 2017 method, is travelling wave solution of b-family equation. Zakharov-Kuznetsov modified equal width equation (vcZKMEW) that is given as.

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by P Masemola 2014 Lie symmetry analysis of differential equations was pioneered by the prominen- equation (3.1) results only in travelling wave solutions with no 

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by C Li 2019 Cited by 14 where u = u(t, x, y) represents the electrostatic wave potential in we study symmetry reductions to the time fractional ZK equation.

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by SBG Karakoc Cited by 2 equation, regularized long wave (RLW) equation, equal width wave (EW) equation approximating the solution of the coupled KdV equation and KdV equation.

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the influence of the dimer lattice on the properties (width and propagation speed) of wave solutions of the nonlinear partial differential equation 

Lie symmetry analysis and traveling wave solutions of equal

by A Chauhan 2020 Cited by 5 The solution of nonlinear partial differential equation plays an impor- tant role in understanding the behavior of complex system. Equal width wave (EWW)  20 pagesMissing: Coupled ‎ Must include: Coupled

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Then, we used tanh method and power series method for solving reduced Keywords Modified equal width wave (MEWW) equation Lie symmetry analysis Yang, S., Hua, C.: Lie symmetry reductions and exact solutions of a coupled 

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dimensional Modified Equal Width Wave Equation with

by K Alaguraja Symmetry Reductions of (2+1)-dimensional Modified. Equal Width Wave Equation with Damping Term by Lie. Classical Method. K. Alaguraja1, R. Asokan1 and S.

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9 Feb 2021 4.7.4 Solitary wave solution with symmetry reduction 40 Zakharov-Kuznetsov modified equal width equation. ZK − BBM.

Lie symmetry analysis and group invariant solutions of the

by K Sakkaravarthi 2018 Cited by 11 Also, we carry out a detailed numerical analysis of the reduced equations and obtain multi-peak nonlinear wave trains. As a special case of the 

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Exact And Numerical Soliton Solutions To Nonlinear Wave. December 25th, 2019 - In this article the authors apply the Lie symmetry approach the time dependent coupled KdV Burgers equation is reduced to a system of December 13th, 2019 - Numerical Solutions Of The Modified Equal Width Wave Equation Are 

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Similarity reductions dealing with Lie symmetries and invariant properties are ( ) represents a localized wave solution and exemplifies a stationary.



References - EqWorld

Hamdi, S., Enright, W. H., Schiesser, W. E., and Gottlieb, J. J., Exact solutions of the generalized equal width wave equation, Math.

On Global Attractors of Hamilton Nonlinear Wave Equations

by AI Komech Cited by 2 Maxwell, Schrödinger, Dirac, coupled systems, etc) with a Lie symmetry group: For a generic equation with a Lie symmetry group each finite energy solution 


by TP WITELSKI 2000 Cited by 8 ing wave solutions of reaction-diffusion equations. For example, con- write the reduced form of the radial Laplacian operator in n dimensions,.