Inner automorphisms, discrete and Bäcklund transformations of integrable systems

A. N. Leznov
2005 Dynamics of Partial Differential Equations  
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 out to be the same. 1991 Mathematics Subject Classification. Primary 35 Secondary 78.
doi:10.4310/dpde.2005.v2.n2.a3 fatcat:dplqfywtvneipfqhuv5sovniri