Conditional symmetry and new representations of the Galilean algebra for nonlinear parabolic equations

Authors

  • V. I. Fushchich
  • V. I. Chopik

Abstract

An efficient method for finding operators of conditional symmetry, which form a basis of the Galilean algebra, is suggested for a class of Galilei noninvariant parabolic equations. Additional conditions, under which the symmetry can be extended, are described. For the nonlinear equation under consideration, the antireduction is realized and some exact solutions are found by using the conditional Galilei invariance of its differential consequences.

Published

25.10.1993

Issue

Section

Research articles

How to Cite

Fushchich, V. I., and V. I. Chopik. “Conditional Symmetry and New Representations of the Galilean Algebra for Nonlinear Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 10, Oct. 1993, pp. 1433–1443, https://umj.imath.kiev.ua/index.php/umj/article/view/5948.