Abelian Lie symmetry algebras of two-dimensional quasilinear evolution equations |
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| Authors: | Rohollah Bakhshandeh-Chamazkoti |
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| Institution: | Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran |
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| Abstract: | We carry out the classification of abelian Lie symmetry algebras of two-dimensional second-order nondegenerate quasilinear evolution equations. It is shown that such an equation is linearizable if it admits an abelian Lie symmetry algebra that is of dimension greater than or equal to 5 or of dimension greater than or equal to 3 with rank-one. |
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