Symmetry and non-lie reduction of the nonlinear Schrödinger equation

  • V. I. Fushchich
  • V. I. Chopik

Abstract

The nonlinear Schrödinger-type equations invariant with respect to the extended Galilean group are described. We study the conditional symmetry of such equations, realize the reduction procedure, and construct the classes of exact solutions.
Published
25.04.1993
How to Cite
FushchichV. I., and ChopikV. I. “Symmetry and Non-Lie Reduction of the Nonlinear Schrödinger Equation”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 45, no. 4, Apr. 1993, pp. 539–551, https://umj.imath.kiev.ua/index.php/umj/article/view/5841.
Section
Research articles