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Group-theoretical interpretation of the Korteweg-de Vries type equations

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Abstract

The Korteweg-de Vries equation is studied within the group-theoretical framework. Analogous equations are obtained for which the many-dimensional Schrödinger equation (with nonlocal potential) plays the same role as the one-dimensional Schrödinger equation does in the theory of the Korteweg-de Vries equation.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, SU-117259, Moscow, USSR

    F. A. Berezin & A. M. Perelomov

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  1. F. A. Berezin
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  2. A. M. Perelomov
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Communicated by J. Moser

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Berezin, F.A., Perelomov, A.M. Group-theoretical interpretation of the Korteweg-de Vries type equations. Commun.Math. Phys. 74, 129–140 (1980). https://doi.org/10.1007/BF01197755

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  • DOI: https://doi.org/10.1007/BF01197755

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