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- Title
The Calogero–Bogoyavlenskii–Schiff Equation in 2+1 Dimensions.
- Authors
Bruzón, M. S.; Gandarias, M. L.; Muriel, C.; Ramírez, J.; Saez, S.; Romero, F. R.
- Abstract
We use the classical and nonclassical methods to obtain symmetry reductions and exact solutions of the (2+1)-dimensional integrable Calogero–Bogoyavlenskii–Schiff equation. Although this (2+1)-dimensional equation arises in a nonlocal form, it can be written as a system of differential equations and, in potential form, as a fourth-order partial differential equation. The classical and nonclassical methods yield some exact solutions of the (2+1)-dimensional equation that involve several arbitrary functions and hence exhibit a rich variety of qualitative behavior.
- Subjects
SYMMETRY; DIMENSIONS; PARTIAL differential equations; CALCULUS; EQUATIONS; ALGEBRA; MATHEMATICS
- Publication
Theoretical & Mathematical Physics, 2003, Vol 137, Issue 1, p1367
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1023/a:1026040319977