Abstract
We discuss the implementation of a method of solving initial boundary value problems in the case of integrable evolution equations in a time-dependent domain. This method is applied to a dispersive linear evolution equation with spatial derivatives of arbitrary order and to the defocusing nonlinear Schrödinger equation, in the domain l(t)<x<∞, 0<t<T, where l(t) is a given real sufficiently smooth function whose first derivative is monotonic, and T is a fixed positive constant.
Original language | English |
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Pages (from-to) | 919-935 |
Number of pages | 17 |
Journal | Inverse Problems |
Volume | 17 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2001 |