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arXiv · 1901.01470

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

Guldana Bekova·Gulgassyl Nugmanova·Gaukhar Shaikhova·Kuralay Yesmakhanova·Ratbay Myrzakulov
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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.

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Guldana Bekova, Gulgassyl Nugmanova, Gaukhar Shaikhova, Kuralay Yesmakhanova, Ratbay Myrzakulov. 2019-01-05. Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence. https://arxiv.org/abs/1901.01470

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