On Integrability of a (2+1)-Dimensional Perturbed KdV Equation
β Scribed by Sakovich, S. Yu.
- Book ID
- 121830962
- Publisher
- Atlantis Press
- Year
- 1998
- Tongue
- English
- Weight
- 98 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1402-9251
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π SIMILAR VOLUMES
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
## a b s t r a c t In this work, a completely integrable (2 + 1)-dimensional KdV6 equation is investigated. The Cole-Hopf transformation method combined with the Hirota's bilinear sense are used to determine two sets of solutions for this equation. Multiple soliton solutions are formally derived t