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).
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-.
Delft University of Technology Model Reduction of Wave
erate such subspaces by exploiting certain symmetry properties of the wave equations. We illustrate the effectiveness of the resulting reduced-order models
OD Adeyemo - NWU-IR Home
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 N Akozbek 1998 higher symmetry solutions may exists for both negative and positive Kerr coefficient. The underlying nonlinear electromagnetic wave equation can be reduced,
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Flexural Gravity Wave Blocking in Coupled Plate System 126 Solution of a Differential Equation Using Fixed Point Results in Graph-.
Linear & nonlinear diffusion-convection equations applied to
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
Lie symmetry analysis and exact solutions of the - CiteSeerX
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.
Stochastic Bifurcations of Group-Invariant Solutions for a
17 Mar 2021 equation; Lie symmetry reduction; group-invariant solution. 1. Introduction nonlinear wave equations is so-called bifurcations.
Exact solutions and conservation laws for the modi ed equal
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.
Exact Solutions and Conserved Vectors of the Two - MDPI
by CM Khalique 2021 Abstract: In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are
Symmetries and Conservation Laws for the Wave Equations of
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.
Novel explicit solutions for the nonlinear Zoomeron equation
by W Gao 2020 Cited by 70 Keywords Nonlinear Zoomeron equation Exact solution New extended direct of coupled wave equations (Morris and Leach 2014; Degasperis et al.13 pages
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit
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
Anjan Biswas - Google Scholar Citations - Universal Wiser
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.
A Robust Cubic Reaction-Diffusion System for Gene
by BH Bradshaw-Hajek 2004 Cited by 23 arrives at a reaction-diffusion equation with cubic source term, rather than the quadratic equation previously derived travelling wave solutions.13 pages
Travelling wave solutions of multisymplectic discretisations of
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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,
LA-6392-T Symmetry Breaking in Fluid Dynamics: Lie Group
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.
Symmetries, Conservation Laws and Reductions of
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
Lie Symmetry Analysis and Exact Solutions of - MDPI
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 UM Congress rential equations, symmetry reduction and construction of exact solutions. Wave Solutions in Relaxing Hydrodynamic-Type Model.
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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 C Kuttler Cited by 34 7.2.5 Travelling Wave Trains in Reaction Diffusion Systems with Oscillatory (with α fixed constant) forms a symmetry group for the diffusion equation.
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by ZG Nicolaou 2017 Cited by 1 We then enumerate the possible symmetry reductions of the thin film equations, ally invariant travelling wave solutions, (ii-3) the constant solutions,.
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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
Lie Symmetry Reductions and Solitary Wave Solutions of Modified
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 NUSEIR Cited by 16 Nonlinear evolution and wave equations are partial differential equations the so-called nonclassical symmetry method produces reductions other than 63 pages
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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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by RM El-Shiekh 2020 Cited by 4 structed for obtaining solitary and soliton wave solu- tions to nonlinear partial differential equations (NPDEs), but symmetry methods are
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by YC GUO Cited by 4 Key words: Gardner equation; dual-power law nonlinearity; similarity reduction; classical Lie group transformation; Clarkson-Kruskal direct method.
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9 May 2013 1 for waveguide modes. 3) Write equations for the boundary conditions that must be satisfied by these sets of superimposed waves, and then solve
analysis of a singular parabolic partial differential equation by
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, Dr.T.SHANMUGA PRIYA.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.
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
ON AXISYMMETRIC TRAVELING WAVES AND RADIAL
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,.