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.