Boundary conditions for integrable equations
Journal of Physics A: Mathematical and General
Institute of Physics Publishing Ltd.
3505 - 3513
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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.