Topological Phenomena in the Real Periodic Sine-Gordon Theory

Details Topological Phenomena in the Real Periodic Sine-Gordon Theory Topological Phenomena in the Real Periodic Sine-Gordon Theory

2003-03-15

arxiv.org/abs/math-ph/0303039v1

Physics

Mathematical Physics

LaTeX, 18 pages, 3 figures

Scientific paper

The set of real finite-gap Sine-Gordon 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 $x$-derivative of the potential) and to show that the averaging of other standard conservation laws is the same for all components.

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