Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation-Reference-Cited by-同舟云学术

Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation

Published:2023-05-23 Issue:10 Volume:20 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Serikbayev Nurzhan¹²^ORCID,Saparbekova Akbota³

Affiliation:

1. Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, 010008 Astana, Kazakhstan

2. Laboratory for Theoretical Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radio, Electronics (TUSUR), 634050 Tomsk, Russia

3. Department of Mathematics, Physics and Computer Science, Sh. Ualikhanov Kokshetau University, 020000 Kokshetau, Kazakhstan

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.

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887823501724

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