Boundary conditions for integrable equations
Journal of Physics A: Mathematical and General, cilt.30, sa.10, ss.3505-3513, 1997 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 30 Sayı: 10
- Basım Tarihi: 1997
- Doi Numarası: 10.1088/0305-4470/30/10/025
- Dergi Adı: Journal of Physics A: Mathematical and General
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.3505-3513
- Boğaziçi Üniversitesi Adresli: Evet
Özet
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 u = qx maps it onto the boundary condition with linear dependence on t for the potentiated KdV.