Generalized Heisenberg Ferromagnet type Equation and Modified Camassa-Holm Equation: Geometric Formulation, Soliton Solutions and Equivalence

作者: Kuralay Yesmakhanova , Shynaray Myrzakul , Ratbay Myrzakulov , Tolkynay Myrzakul , Gulgassyl Nugmanova

DOI:

关键词: SolitonType equationEquivalence (measure theory)Reduction (mathematics)Gauge (firearms)Mathematical physicsMathematicsFerromagnetismCamassa–Holm equationRepresentation (mathematics)

摘要: We study the integrability and equivalence of a generalized Heisenberg ferromagnet-type equation (GHFE). The different forms this as well its reduction are presented. Lax representation (LR) is obtained. observe that geometrical gauge equivalent counterpart GHFE modified Camassa-Holm (mCHE) with an arbitrary parameter $\kappa$. Finally, 1-soliton solution

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