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Theory of Riemann surfaces: methods and applications
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Multisoliton KP-2 solutions and degenerate M-curves P. G. Grinevichab, S. Abendac a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow b L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences c University of Bologna |
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Abstract: Multiline solitons of the KP-2 equations can be constructed using the Darboux transformations. But they also can be obtained as degeneration of the finite-gap solutions. If one wants to obtain physically relevant regular real-valued solutions it is necessary to use totally-positive Grassmannians in the Darboux transformation and M-curves in the finite-gap approach. We construct a bridge between these two approaches. Language: English |
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