A new integrable generalization of the Korteweg - de Vries equation
Exactly Solvable and Integrable Systems
2011-02-11 v1 Mathematical Physics
Analysis of PDEs
math.MP
Pattern Formation and Solitons
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.
Cite
@article{arxiv.0708.3247,
title = {A new integrable generalization of the Korteweg - de Vries equation},
author = {Ayse Karasu-Kalkanli and Atalay Karasu and Anton Sakovich and Sergei Sakovich and Refik Turhan},
journal= {arXiv preprint arXiv:0708.3247},
year = {2011}
}
Comments
13 pages, 2 figures