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

2009/12/31 by R. Garifullin, B. Suleimanov, N. Tarkhanov · 2 citations
Physics and Astronomy · Mathematics · #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1016/j.physleta.2010.01.057

published as Physics Letters A, Volume 374, Issue 13-14, 2010, p. 1420-1424. · 13 pages, 3 figures

arxiv created 2010/01/21 · arxiv updated 2010/04/08

Abstract

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

Cited by

• Self-similar asymptotics in the decay problem for the Volterra lattice with zero boundary condition
• On the Gurevich-Pitaevskii solution of KdV

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