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Finite dimensional dynamics for evolutionary equations

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Abstract

We suggest a new method for studying finite dimensional dynamics for evolutionary differential equations. We illustrate this method for the case of the KdV equation. As a side result we give constructive solutions of the boundary problem for the Schrodinger equations whose potentials are solutions of stationary KdV equations and their higher generalizations.

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Authors and Affiliations

  1. The University of Tromso, Tromso, Norway

    Lychagin Valentin & Lychagina Olga

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  1. Lychagin Valentin
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  2. Lychagina Olga
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Correspondence to Lychagina Olga.

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Valentin, L., Olga, L. Finite dimensional dynamics for evolutionary equations. Nonlinear Dyn 48, 29–48 (2007). https://doi.org/10.1007/s11071-006-9049-5

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  • DOI: https://doi.org/10.1007/s11071-006-9049-5

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