Volume 3, Issue 1-2, May 1996, Pages 152 - 155
Painleve Analysis and Symmetries of the HirotaSatsuma Equation
- A.A. MOHAMMAD, M. CAN
- Corresponding Author
- A.A. MOHAMMAD
Available Online 19 December 2006.
- https://doi.org/10.2991/jnmp.1996.3.1-2.17How to use a DOI?
- The singular manifold expansion of Weiss, Tabor and Carnevale  has been successfully applied to integrable ordinary and partial differential equations. They yield information such as Lax pairs, Bäcklund transformations, symmetries, recursion operators, pole dynamics, and special solutions. On the other hand, several recent developments have made the application of group theory to the solution of the differential equations more powerful then ever. More recently, Gibbon et. al.  revealed interrelations between the Painlevè property and Hirota's bilinear method. And W. Strampp  hase shown that symmetries and recursion operators for an integrable nonlinear partial differential equation can be obtained from the Painlevè expansion. In this paper, it has been shown that the HirotaSatsuma equation passes the Painlevé test given by Weiss et al. for nonlinear partial differential equations. Furthermore, the data obtained by the truncation technique is used to obtain the symmetries, recursion operators, some analytical solutions of the HirotaSatsuma equation.
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Cite this article
TY - JOUR AU - A.A. MOHAMMAD AU - M. CAN PY - 2006 DA - 2006/12 TI - Painleve Analysis and Symmetries of the HirotaSatsuma Equation JO - Journal of Nonlinear Mathematical Physics SP - 152 EP - 155 VL - 3 IS - 1-2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1996.3.1-2.17 DO - https://doi.org/10.2991/jnmp.1996.3.1-2.17 ID - MOHAMMAD2006 ER -