A new integrable generalization of the Korteweg–de Vries equation

Ayşe Karasu-Kalkanlı, Atalay Karasu, Anton Sakovich, Sergei Sakovich, Refik Turhan
2008 Journal of Mathematical Physics  
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.
doi:10.1063/1.2953474 fatcat:vfugemqyanhhboshdcijhh7jqe