A new integrable generalization of the Korteweg-de Vries equation

Date

2008-07-01

Author

Karasu-Kalkanli, Ayse
Karasu, Atalay
Sakovich, Anton
Sakovich, Sergei
TURHAN, REFİK

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

5
views

3
downloads

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. (C) 2008 American Institute of Physics.

Subject Keywords

Mathematical Physics, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/48586

Collections

Department of Physics, Article