| The(anisotropic) Heisenberg Ferromagnet(HF) equations are very important integrable equations and have been paid more attention.Recently,(discrete) Modified HF equation have been investigated.It is known that there are gauge and geometric equivalences between(discrete) modified HF equations and(discrete) nonlinear schr(?)dinger equation NLSEˉ.For the integrable anisotropic modified HF equation,it has not been reported so far for this question.The prolongation structure theory is a very useful and effective tool in the analysis of(1+1)-dimensional integrable systems.In this paper,we'll investigate the anisotropic modified HF equation by using prolongation structure theory and give its Lax representation. |
