%0 Journal Article %T Lie Symmetries, 1-Dimensional Optimal System and Optimal Reductions of (1 + 2)-Dimensional Nonlinear Schrödinger Equation %A Meirong Mu %A Chaolu Temuer %J Journal of Applied Mathematics and Physics %P 603-620 %@ 2327-4379 %D 2014 %I Scientific Research Publishing %R 10.4236/jamp.2014.27067 %X

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.

%K Nonlinear Schrö %K dinger Equation %K Classical Symmetry %K Optimal System %K Symmetry Reductions %K Invariant Solutions %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=46851