Establishes geometrical equivalence between the Camassa-Holm equation and the M-CIV equation via curve motion and demonstrates gauge equivalence between them.
On the integrable inhomogeneous Myrzakulov I equation
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abstract
By using the prolongation structure theory proposed by Morris, we give a (2+1)-dimensional integrable inhomogeneous Heisenberg Ferromagnet models, namely, the inhomogeneous Myrzakulov I equation. Through the motion of space curves endowed with an additional spatial variable, its geometrical equivalent counterpart is also presented.
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nlin.SI 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
Establishes geometrical equivalence between the Camassa-Holm equation and the M-CIV equation via curve motion and demonstrates gauge equivalence between them.