The String Equation and Solitons

S. P. Novikov

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arXiv · hep-th/9512094

The String Equation and Solitons

S. P. Novikov

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Abstract

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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S. P. Novikov. 1995-12-13. The String Equation and Solitons. https://arxiv.org/abs/hep-th/9512094

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