Perturbed Lie Symmetry and Systems of Non-Linear Diffusion Equations

摘要: Abstract The method of one parameter, point symmetric, approximate Lie group invariants is applied to the problem determining solutions systems pure one-dimensional, diffusion equations. equations are taken be non-linear in dependent variables but otherwise homogeneous. Moreover, matrix coefficients differ from a constant by linear perturbation with respect an infinitesimal parameter. conditions for invariance developed and coupled system. corresponding prolongation operator derived it shown that this places power law logarithmic constraints on nature perturbed matrix. used derive solution equation impulsive boundary conditions.