A new integrable generalization of the Korteweg-de Vries equation

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Date

2008-07-01

Author

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

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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 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

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.2953474

Collections

Department of Physics, Article

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Citation Formats

A. Karasu-Kalkanli, A. Karasu, A. Sakovich, S. Sakovich, and R. TURHAN, “A new integrable generalization of the Korteweg-de Vries equation,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48586.