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A new integrable generalization of the Korteweg-de Vries equation

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2008-07-01
Karasu-Kalkanli, Ayse
Karasu, Atalay
Sakovich, Anton
Sakovich, Sergei
TURHAN, REFİK
A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg-de Vries equation with a source. A Lax representation and an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied. (C) 2008 American Institute of Physics.