Abstract
In this work, we study the (2+1)-dimensional nonlinear Schrödinger-type equation that is related to many physical phenomena in nonlinear optical fibers and water waves. Some properties of the (2+1)-dimensional nonlinear Schrödinger-type equation are considered. We determine the infinitesimal generators, an optimal system and a commutator table of the Lie algebra by using Lie symmetry analysis. Also the conservation laws of the equation are obtained using the new conservation theorem proposed by Ibragimov.
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