Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation

作者: Kuralay Yesmakhanova , Ratbay Myrzakulov , Tolkynay Myrzakul , Gulgassyl Nugmanova , Assem Mussatayeva

DOI:

关键词: Camassa–Holm equationMotion (geometry)Gauge (firearms)Equivalence (measure theory)Link (knot theory)Integrable systemSpin-½PhysicsMathematical physics

摘要: In the present paper, we investigate some geometrical properties of Camass-Holm equation (CHE). We establish equivalence between CHE and M-CIV using a link with motion curves. also show that these two equations are gauge equivalent each to other.

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