9 citations · 18 across the 4 of their papers we have counts for
4 papers
Notes on Integrable Motion of Two Interacting Curves and Two-layer Generalized Heisenberg Ferromagnet Equations
Zhaidary Myrzakulova, Akbota Myrzakul, Gulgassyl Nugmanova +1
In the present paper, we study the integrable 2-layer generalized Heisenberg ferromagnet equation (HFE). The relation between this generalized HFE and differential geometry of curv…
Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation
Akbota Myrzakul, Ratbay Myrzakulov
In this paper, we study integrable multilayer spin systems, namely, the multilayer M-LIII equation. We investigate their relation with the geometric flows of interacting curves and…
Darboux transformations and exact soliton solutions of integrable coupled spin systems related with the Manakov system
Akbota Myrzakul, Ratbay Myrzakulov
We construct a Darboux transformation of a general -valued spin system called the -spin system. Using this Darboux transformation we derive a recursive formula for the so…
Integrable motion of two interacting curves, spin systems and the Manakov system
Akbota Myrzakul, Ratbay Myrzakulov
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…