Surfaces and Curves Induced by Nonlinear Schrödinger-Type Equations and Their Spin Systems

Autor: Akbota Myrzakul, Gulgassyl Nugmanova, Nurzhan Serikbayev, Ratbay Myrzakulov

Publikováno v: Symmetry, Vol 13, Iss 10, p 1827 (2021)

In recent years, symmetry in abstract partial differential equations has found wide application in the field of nonlinear integrable equations. The symmetries of the corresponding transformation groups for such equations make it possible to significa

Externí odkaz: https://doaj.org/article/bc76db103467473da1c85f66adda8722

Integrability of the Two-Layer Spin System

Autor: Gulgassyl Nugmanova, Akbota Myrzakul

Publikováno v: Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2019)

Among nonlinear evolutionary equations integrable ones are of particular interest since only in this we case can theoretically study the model in detail and in-depth. In the present, we establish the geometric connection of the well-known integrable

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16fb619340112bdacfe473f6dd0d8028
https://projecteuclid.org/euclid.pgiq/1545361494

Integrable motion of two interacting curves, spin systems and the Manakov system

Autor: Ratbay Myrzakulov, Akbota Myrzakul

Integrable spin systems are an important subclass of integrable (soliton) nonlinear equations. They play important role in physics and mathematics. At present, many integrable spin systems were found and studied. They are related with the motion of 3

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10b5f2f4d8119e1f9d49f96a12b25418
http://arxiv.org/abs/1606.06598