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most citedInfluence of small dispersion on self-focusing in spatially one-dimensional case

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math-ph2010★ 20 cited

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

R. Garifullin, B. Suleimanov, N. Tarkhanov

We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.