activity
20142022
most citedIntegrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations

47 citations · 71 across the 5 of their papers we have counts for

collaborators

5 papers

gr-qc202219 cited

Big Bang Nucleosynthesis constraints on gravity

Petros Asimakis, Emmanuel N. Saridakis, Spyros Basilakos +1

We confront gravity, with Big Bang Nucleosynthesis (BBN) requirements. The former is obtained using both the torsion scalar, as well as the teleparallel equivalent of th…

nlin.SI20223 cited

Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations

Zhaidary Myrzakulova, Gulgassyl Nugmanova, Kuralay Yesmakhanova +2

We consider some nonlinear models describing interactions of long and short (LS) waves. Such LS models have been derived and proposed with various motivations, which mainly come fr…

nlin.SI2019

Geometric Flows of Curves, Two-Component Camassa-Holm Equation and Generalized Heisenberg Ferromagnet Equation

Aigul Taishiyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +3

In this paper, we study the generalized Heisenberg ferromagnet equation, namely, the M-CVI equation. This equation is integrable. The integrable motion of the space curves induced…

nlin.SI20142 cited

The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions

Kuralay Yesmakhanova, Gaukhar Shaikhova, Kuanysh Zhussupbekov +1

The (2+1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by the Inverse Scattering Method. In this paper, we construct a Darboux transformation (DT) of the (2+1)-di…

nlin.PS201447 cited

Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations

R. Myrzakulov, G. K. Mamyrbekova, G. N. Nugmanova +2

Motion of curves and surfaces in lead to nonlinear evolution equations which are often integrable. They are also intimately connected to the dynamics of spin chains in the c…