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Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation

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arxiv 0912.4853 v2 pith:WZMV3XWN submitted 2009-12-24 math-ph math.MPnlin.SI

R. Garifullin , B. Suleimanov , N. Tarkhanov This is my paper · ORCID
classification math-phmath.MPnlin.SI
keywords equationgurevich-pitaevskiisolutionspecialzoneaveragingkorteweg-deleading
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We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 19 citations worldwide. Full citation record

  1. On the Gurevich-Pitaevskii solution of KdV

    nlin.SI 2026-06 unverdicted novelty 5.0 of 10

    The Gurevich-Pitaevskii solution to KdV, known to satisfy a self-similar reduction from the next hierarchy member, must obey a first-order PDE if any lower-order one and admits a converging Laurent series in x and t.

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