Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation
Serikbayev N. Saparbekova A.
15 September 2023World Scientific
International Journal of Geometric Methods in Modern Physics
2023#20Issue 10
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.
conservation laws , Lie algebra , Lie symmetry , nonlinear Schrödinger-type equation
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Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Laboratory for Theoretical Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radio, Electronics (TUSUR), Tomsk, 634050, Russian Federation
Department of Mathematics, Physics and Computer Science, Sh. Ualikhanov Kokshetau University, Kokshetau, 020000, Kazakhstan
Department of General and Theoretical Physics
Laboratory for Theoretical Cosmology
Department of Mathematics
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