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Abstract and Applied Analysis
Volume 2010, Article ID 241898, 9 pages
Research Article

A Bäcklund Transformation for the Burgers Hierarchy

School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

Received 19 October 2009; Revised 2 February 2010; Accepted 14 March 2010

Academic Editor: John Mallet-Paret

Copyright © 2010 Xifang Cao and Chuanyou Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give a Bäcklund transformation in a unified form for each member in the Burgers hierarchy. By applying the Bäcklund transformation to the trivial solutions, we generate some solutions of the Burgers hierarchy.