Similarity Form, Similarity Variational Element and Similarity Solution to (2+1) Dimensional Breaking Solition Equation

Abstract

In this paper, the thoughts and methods of ordinary deferential equation of dimensional non-linear partial deferential equation with (2+1) dimensional non-linear partial deferential equation will be analysed first, then the authors deduce the universal similarity form and similarity variational element of (2+1) dimensional breaking solution equation and its suitable deferential equation and find the similarity solition to (2+1) dimensional breaking solition equation.