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Hydon, P.E. (2000) Symmetry Methods for Differential Equation. Cambridge University Press, Cambridge.

has been cited by the following article:

• TITLE: Lie Symmetries, 1-Dimensional Optimal System and Optimal Reductions of (1 + 2)-Dimensional Nonlinear Schrödinger Equation

  AUTHORS: Meirong Mu, Chaolu Temuer

  KEYWORDS: Nonlinear Schrödinger Equation, Classical Symmetry, Optimal System, Symmetry Reductions, Invariant Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.7, June 17, 2014

  ABSTRACT: For a class of (1 + 2)-dimensional nonlinear Schrodinger equations, classical symmetry algebra is found and 1-dimensional optimal system, up to conjugacy, is constructed. Its symmetry reductions are performed for each class, and someexamples of exact invainvariant solutions are given.