A new integrable generalization of the Korteweg - de Vries equation

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 a Backlund self-transformation are found of the new equation, and its travelling wave solutions and generalized symmetries are studied.

13 pages, 2 figures

References in corpus (1)

• KdV6: An Integrable System

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