- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Connection Between Painlevé Property and Hirota’sBilinearization | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 20, Issue 2, 2009, Pages 156-166 | ||
| Author | ||
| Inaam A. Malloki Imad A. Barzinjy | ||
| Abstract | ||
| The main goal of this paper is to consider the connection between Hirota’s method and Painlevé property based on a result obtained by Gibbon et al. in 1985 to KdV equation. Our contribution is a modification to their work, so that Bäcklund transformation derived from Painlevé property can be obtained in a systematic way from Hirota’s bilinear form. We find that the modified procedure can be applied to many equations. Among these are Boussinesq (B), KP and CDG equations. Also in this paper, some useful properties for the bilinear operators are derived to prove our main results | ||
|
Statistics Article View: 155 PDF Download: 37 |
||