IJPAM: Volume 101, No. 2 (2015)

BÄCKLUND TRANSFORMATIONS FOR SOME
NON-LINEAR EVOLUTION EQUATIONS
USING PAINLEVÉ ANALYSIS

M. El-Sabbagh1, A. Shehata2, A. Saleh3
1,2,3Mathematics Department
Faculty of Science
Minia University
El-Minia, EGYPT


Abstract. We prove that symmetric coupled Burger's system, claimed by Burger, to pass the Painlevé test for integrability, actually succeed the test at the highest resonance of the generic branch and therefore must be integrable.

Received: September 1, 2014

AMS Subject Classification:

Key Words and Phrases: symmetric coupled Burger's system, Painlevé test, integrability, KdV-Burger's equations, (2+1)-dimensional breaking soliton equations, (2+1)-dimensional dispersive long wave equations, coupled Konno-Oono equations, (2+1)-dimensional breaking soliton equations

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DOI: 10.12732/ijpam.v101i2.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 2
Pages: 171 - 186


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