Topological phenomena in the real periodic sineGordon theory
Abstract
The set of real finitegap sineGordon solutions corresponding to a fixed spectral curve consists of several connected components. A simple explicit description of these components obtained by the authors recently is used to study the consequences of this property. In particular this description allows to calculate the topological charge of solutions (the averaging of the xderivative of the potential) and to show that the averaging of other standard conservation laws is the same for all components.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 August 2003
 DOI:
 10.1063/1.1588742
 arXiv:
 arXiv:mathph/0303039
 Bibcode:
 2003JMP....44.3174G
 Keywords:

 02.40.Pc;
 General topology;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 LaTeX, 18 pages, 3 figures