Inner automorphisms, discrete and Bäcklund transformations of integrable systems
Inner automorphisms, discrete and Bäcklund transformations of integrable systems
It is shown that there exist two inner automorphisms and a discrete transformation besides the usual Bäcklund transformation for the integrable focusing nonlinear Schrödinger equation.By virtue of the inner automorphisms, the discrete transformation can generate multi-soliton solutions.The expressions for multi-soliton solutions generated by the discrete and the Bäcklund transformations turn …