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Symmetry And Exact Solutions Of Cylindrically Symmetric Wave Equation

Posted on:2019-05-17Degree:MasterType:Thesis
Country:ChinaCandidate:A D ShiFull Text:PDF
GTID:2370330548967343Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this work,sets out the conditions conformal invariance cylindrically symmetric nonlinear wave equation D' Alembert (?) relatively conformal algebra AC(l,n-1).This eliminated relationship between exponent functions F(x,u)= ?un+3/n-1 of number of spatial variables exist for classical equation?u=F(x,u)for requirement of conformal invariance relation algebra AC(l,n).A search of invariants and ansatzes conformal algebra AC(1,1),which is used for finding exact solutions of cylindrically-symmetric inhomogeneous wave equation in n = 2.
Keywords/Search Tags:method of Lie, symmetrical analysis, cylindrically-symmetric wave equation, D'Alembert equation, symmetry reduction, reduced equations, algebraic invariance
PDF Full Text Request
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