A new integrable generalization of the Korteweg - de Vries equation

2007/08/23 by Ayse Karasu-Kalkanli, Atalay Karasu, Anton Sakovich +2 · 1 citation
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.AP #math.MP #nlin.PS

paper · pdf · doi:10.1063/1.2953474

published as J.Math.Phys.49:073516,2008 · 13 pages, 2 figures

arxiv created 2007/08/23 · arxiv updated 2011/02/11

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.

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