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Asymptotic approximations for a new eigenvalue in linear problems without a threshold

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Abstract

We study the criterion for a new eigenvalue to appear in the linear spectral problem associated with the intermediate long-wave equation. We compute the asymptotic value of the new eigenvalue in the limit of a small potential using a Fourier decomposition method. We compare the results with those for the Schrödinger operator with a radially symmetrical potential.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, Ontario, Canada

    D. E. Pelinovsky & C. Sulem

Authors
  1. D. E. Pelinovsky
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  2. C. Sulem
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 122, No. 1, pp. 118–127, January, 1999.

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Pelinovsky, D.E., Sulem, C. Asymptotic approximations for a new eigenvalue in linear problems without a threshold. Theor Math Phys 122, 98–106 (2000). https://doi.org/10.1007/BF02551173

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