A new integrable generalization of the Korteweg-de Vries equation

Karasu-Kalkanli, Ayse
Karasu, Atalay
Sakovich, Anton
Sakovich, Sergei
TURHAN, REFİK

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Publication date

July 2008

DOI

10.1063/1.2953474

Publisher

AIP Publishing

Journal

Journal of Mathematical Physics

Abstract

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

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A new integrable generalization of the Korteweg-de Vries equation

Abstract

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A new integrable generalization of the Korteweg-de Vries equation

Abstract

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