Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation
作者： Kuralay Yesmakhanova , Ratbay Myrzakulov , Tolkynay Myrzakul , Gulgassyl Nugmanova , Bayan Kutum
DOI:
关键词: Euclidean geometry 、 Gauge (firearms) 、 Mathematical physics 、 Equivalence (measure theory) 、 Space (mathematics) 、 Mathematics 、 Deformation (mechanics) 、 Component (thermodynamics) 、 Camassa–Holm equation 、 Integrable system
摘要: In this paper, we provide the geometric formulation to two-component Camassa-Holm equation (2-mCHE). We also study relation between 2-mCHE and M-CV equation. have shown that these equations arise from invariant space curve flows in three-dimensional Euclidean geometry. Using approach established geometrical equivalence The gauge is considered.
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