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Integrability properties of a generalized reduction of the KdV6 equation

โœ Scribed by P.R. Gordoa; A. Pickering; J. Prada


Book ID
113439734
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
162 KB
Volume
218
Category
Article
ISSN
0096-3003

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We consider the Cauchy problem for the generalized Korteweg-de Vries equation ## ~,u + O~(-O~)~u + a~( u----A ) = O where ~ is a positive real and it an integer larger than 1. We obtain the detailed large distance behaviour of the fundamental solution of the linear problem and show that for ot/>1