Výsledky vyhledávání - "Bekova, Guldana"

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Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence

Autor: Bekova, Guldana, Nugmanova, Gulgassyl, Shaikhova, Gaukhar, Yesmakhanova, Kuralay, Myrzakulov, Ratbay

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

Externí odkaz: http://arxiv.org/abs/1901.01470

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Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation

Autor: Bekova, Guldana, Yesmakhanova, Kuralay, Shaikhova, Gaukhar, Nugmanova, Gulgassyl, Myrzakulov, Ratbay

In the present paper, we study the Myrzakulov-XIII (M-XIII) equation geometrically. From the geometric point of view, we establish a link of the M-XIII equation with the motion of space curves in the 3-dimensional space $R^{3}$. We also show that the

Externí odkaz: http://arxiv.org/abs/1812.02152

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