Lie Point Symmetry Preserving Invariance for the mKdV Equations in the Uniformity and Orthogonality of Mesh
Abstract：By means of Lie point symmetry method, we have studied the difference equation of the mKdV, then get the Lie algebra infinitesimal operators of differential equation and difference mesh of the mKdV. We find out that Lie point symmetry not only keep mKdV of the differential equation invariance, but also keep the difference equations with unified orthogonal mesh invariance. Difference equation of the preserving symmetry is help to investigate the quality of differential equation and difference equation.
Keywords：Lie groupmKdV equationdifference equationuniformity and orthogonality of meshinvariance
Publication Date：2012-01-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：5( 1-4,10 )