The String Equation and Solitons

Details The String Equation and Solitons The String Equation and Solitons

1995-12-13

arxiv.org/abs/hep-th/9512094v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Based on lectures delivered at the Erice Chalonge School, `String Gravity and Physics at the Planck Scale', 8-19 Sept

Scientific paper

We present a brief survey of the results of the Theory of Solitons from the viewpoint of the periodic theory including some new results in the theory of 2-dimensional periodic Schrodinger Operators. The main subjects are: Periodic Solitons and Algebraic Geometry, The Theory of Solitons and the String equation, Topologically trivial and nontrivial periodic two-dimensional Schrodinger operators and Riemann surfaces and Cyclic and semicyclic chains of Laplace transformations (new results of the present author and A.Veselov).

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