Boundary conditions for integrable equations
Abstract
The problem of constructing boundary conditions for nonlinear equations compatible with higher symmetries is considered. In particular, this problem is discussed for the sine - Gordon, Jiber - Shabat, Liouville and KdV equations. New results are obtained for the last two ones. The boundary condition for the KdV contains two arbitrary constants. The substitution 0305-4470/30/10/025/img7 maps it onto the boundary condition with linear dependence on t for the potentiated KdV.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- May 1997
- DOI:
- 10.1088/0305-4470/30/10/025
- Bibcode:
- 1997JPhA...30.3505A