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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   3,891 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.

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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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