作者: Kuralay Yesmakhanova , Shynaray Myrzakul , Ratbay Myrzakulov , Tolkynay Myrzakul , Gulgassyl Nugmanova
DOI:
关键词: Soliton 、 Type equation 、 Equivalence (measure theory) 、 Reduction (mathematics) 、 Gauge (firearms) 、 Mathematical physics 、 Mathematics 、 Ferromagnetism 、 Camassa–Holm equation 、 Representation (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