Contents Online
Dynamics of Partial Differential Equations
Volume 2 (2005)
Number 2
Inner automorphisms, discrete and Bäcklund transformations of integrable systems
Pages: 149 – 158
DOI: https://dx.doi.org/10.4310/DPDE.2005.v2.n2.a3
Author
Abstract
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.
Keywords
inner automorphism, discrete transformation, Bäcklund transformation, integrable system, multi-soliton solution
2010 Mathematics Subject Classification
Primary 35-xx. Secondary 78-xx.
Published 1 January 2005