Dynamics of Partial Differential Equations
Volume 2 (2005)
Inner automorphisms, discrete and Bäcklund transformations of integrable systems
Pages: 149 – 158
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.
inner automorphism, discrete transformation, Bäcklund transformation, integrable system, multi-soliton solution
2010 Mathematics Subject Classification
Primary 35-xx. Secondary 78-xx.