Boundary conditions for integrable equations
Date
1997
Authors
Adler, V.
Gürel, B.
Gürses M.
Habibullin, I.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Physics A: Mathematical and General
Print ISSN
0305-4470
Electronic ISSN
1361-6447
Publisher
Institute of Physics Publishing Ltd.
Volume
30
Issue
10
Pages
3505 - 3513
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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 u = qx maps it onto the boundary condition with linear dependence on t for the potentiated KdV.