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Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation.
- Source :
- International Journal of Geometric Methods in Modern Physics; Sep2023, Vol. 20 Issue 10, p1-17, 17p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198878
- Volume :
- 20
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Publication Type :
- Academic Journal
- Accession number :
- 169782917
- Full Text :
- https://doi.org/10.1142/S0219887823501724