Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence-Reference-Cited by-同舟云学术

Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence

Published:2020-06 Issue:07 Volume:17 Page:2050104
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:

Yesmakhanova Kuralay¹,Nugmanova Gulgassyl¹,Shaikhova Gaukhar²,Bekova Guldana³⁴,Myrzakulov Ratbay²^ORCID

Affiliation:

1. Eurasian International Center for Theoretical Physics and Department of Mathematical and Computer Modeling, Eurasian National University, Nur-Sultan 010008, Kazakhstan

2. Eurasian International Center for Theoretical Physics and Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan 010008, Kazakhstan

3. Department of Physics and Technical Disciplines, Kh. Dosmukhamedov Atyrau State University, Atyrau 060010, Kazakhstan

4. Eurasian International Center for Theoretical Physics, Eurasian National University, Nur-Sultan 010008, Kazakhstan

Abstract

We propose a new integrable coupled dispersionless equation with self-consistent sources (CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet equation (GHFE), demonstrating its integrability. Specifically, we explore the geometry of these equations. Last, we consider the relation between the motion of curves/surfaces and the CDESCS and the GHFE.

Funder

Ministry of Education and Science of Kazakhstan

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887820501042

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