## Integrable evolution equations in time-dependent domainsTools
Fokas, A. S. and Pelloni, B.
(2001)
Full text not archived in this repository. To link to this article DOI: 10.1088/0266-5611/17/4/323 ## Abstract/SummaryWe 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.
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