Establishes geometrical equivalence between the Camassa-Holm equation and the M-CIV equation via curve motion and demonstrates gauge equivalence between them.
Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials
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abstract
Integrable Heisenberg ferromagnetic equations are an important subclass of integrable systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic equation and are integrable. In this paper, the Darboux transformation of the M-XCIX equation is constructed. Using the DT, a 1-soliton solution of the M-XCIX equation is presented.
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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.