Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence

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

2020

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DOI 10.1142/s0219887820501042
Data confidence 70 medium
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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.