Lie symmetry analysis and Painlevé analysis of the new (2+1)-dimensional KdV equation
✍ Scribed by Shoufeng Shen
- Book ID
- 107500779
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2007
- Tongue
- English
- Weight
- 152 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1005-1031
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📜 SIMILAR VOLUMES
The properties of the nonlinear viscous transonic equation is analysed in detail. The Painlev6 test shows that it is not completely integrable. The equation does not reduce to a member of Painlev6 class by any similarity transformation of variables. ## Lie-Symmetrie, Erhaltungssatxe und Painled-Ana
Using the perturbation expansion of multiple scales, a 2#1-dimensional generalization of the perturbation equations of the KdV hierarchy is given. It is found that the system satisfies the Painleve´property and allows a set of Ba¨cklund transformations obtained by truncating the series expansions of