A new integrable generalization of the Korteweg - de Vries equation

Anton Sakovich; Atalay Karasu; Ayse Karasu-Kalkanli; Refik Turhan; Sergei Sakovich

arxiv: 0708.3247 · v1 · pith:P7QIUO7Qnew · submitted 2007-08-23 · 🌊 nlin.SI · math-ph· math.AP· math.MP· nlin.PS

A new integrable generalization of the Korteweg - de Vries equation

Ayse Karasu-Kalkanli , Atalay Karasu , Anton Sakovich , Sergei Sakovich , Refik Turhan This is my paper

classification 🌊 nlin.SI math-phmath.APmath.MPnlin.PS

keywords equationintegrablekortewegvrieswaveanalysisbacklunddiscovered

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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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A new integrable generalization of the Korteweg - de Vries equation

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