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Expansion in “squares” of the eigenfunctions of a matrix linear system

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Abstract

The spectral properties of an integrodifferential operator connected with a linear matrix system of first-order differential equations are investigated. The given operator is involved in the description of nonlinear evolution equation solvable by the inverse scattering method and in the construction of a hierarchy of symplectic forms.

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Authors
  1. V. S. Gerdzhikov
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  2. P. P. Kulish
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 101, pp. 46–63, 1981.

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Gerdzhikov, V.S., Kulish, P.P. Expansion in “squares” of the eigenfunctions of a matrix linear system. J Math Sci 23, 2400–2412 (1983). https://doi.org/10.1007/BF01084167

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  • DOI: https://doi.org/10.1007/BF01084167

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