A new integrable generalization of the Korteweg-de Vries equation

作者:Karasu Kalkanli Ayse*; Karasu Atalay; Sakovich Anton; Sakovich Sergei; Turhan Refik
来源:Journal of Mathematical Physics, 2008, 49(7): 073516.
DOI:10.1063/1.2953474

摘要

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 an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied.

  • 出版日期2008-7