Open AccessA Note on the Painlevé Property of Coupled KdV Equations
Author(s) -
Sergei Sakovich
Publication year - 2014
Publication title -
international journal of partial differential equations
Language(s) - English
Resource type - Journals
eISSN - 2356-7082
pISSN - 2314-6524
DOI - 10.1155/2014/125821
Subject(s) - korteweg–de vries equation , property (philosophy) , mathematics , test (biology) , pure mathematics , resonance (particle physics) , algebra over a field , physics , nonlinear system , geology , philosophy , quantum mechanics , paleontology , epistemology
We prove that one system of coupled KdV equations, claimed by Hirota, Hu, andTang to pass the Painleve test for integrability, actually fails the test atthe highest resonance of the generic branch and therefore must benon-integrable.Comment: 4 page
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