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Complex whitham deformations in problems with “integrable instability”

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Abstract

The focusing nonlinear Schrödinger equation with “finite-density” boundary conditions as |x|→∞ is considered. The asymptotic behavior of the solution ast→∞ is investigated by means of the complex theory of ζ deformations of Whitham.

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Authors and Affiliations

  1. St. Petersburg Branch, V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR

    R. F. Bikbaev (deceased)

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  1. R. F. Bikbaev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 393–419, September, 1995.

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Bikbaev, R.F. Complex whitham deformations in problems with “integrable instability”. Theor Math Phys 104, 1078–1097 (1995). https://doi.org/10.1007/BF02068740

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  • DOI: https://doi.org/10.1007/BF02068740

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