# 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 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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Flexural Gravity Wave Blocking in Coupled Plate System 126 Solution of a Differential Equation Using Fixed Point Results in Graph-.

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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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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-.

### Conservation Laws and optimal system of - Ingenta Connect

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

### Dear Author, Please, note that changes made to the - Arca BC

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.

### SYMMETRIES AND EXACT SOLUTIONS OF SOME - Thapar

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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by VG Ivancevic 2013 Cited by 67 variety of its traveling wave solutions), as spatiotemporal models of nonlinear ex- citations in complex physical systems. 2.1. Sine Gordon Equation (SGE).

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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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by AH Salas Exact Solutions of the Symmetric Regularized Long Wave Equation and the Lie Point Symmetries of (1) and Symmetry Reduction. The.

### 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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by A Parker 2004 Cited by 75 A bilinear form of the Camassa-Holm equation is presented and used to derive solitary-wave solution, which is examined in various parameter

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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.

### DIMENSIONAL MODIFIED EQUAL WIDTH WAVE EQUATION

LIE SYMMETRIES AND REDUCTIONS OF (2+1). DIMENSIONAL MODIFIED EQUAL WIDTH. WAVE EQUATION WITH DAMPING TERM. S.SADIYA[1], Dr.T.SHANMUGA PRIYA[2].8 pages

### References - EqWorld

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

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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,.