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

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DOI: 10.4236/jamp.2014.27067    3,042 Downloads   3,890 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Mu, M. and Temuer, C. (2014) Lie Symmetries, 1-Dimensional Optimal System and Optimal Reductions of (1 + 2)-Dimensional Nonlinear Schrödinger Equation. Journal of Applied Mathematics and Physics, 2, 603-620. doi: 10.4236/jamp.2014.27067.

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