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arxiv: 0912.4853 · v2 · submitted 2009-12-24 · 🧮 math-ph · math.MP· nlin.SI

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

R. Garifullin , B. Suleimanov , N. Tarkhanov This is my paper
classification 🧮 math-ph math.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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  1. On the Gurevich-Pitaevskii solution of KdV

    nlin.SI 2026-06 unverdicted novelty 5.0

    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.