A new integrable generalization of the Korteweg - de Vries equation

Details A new integrable generalization of the Korteweg - de Vries equation A new integrable generalization of the Korteweg - de Vries equation

2007-08-23

arxiv.org/abs/0708.3247v1

J.Math.Phys.49:073516,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 2 figures

Scientific paper

10.1063/1.2953474

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.

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