### 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 |

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## Cite this

Fokas, A. S., & Pelloni, B. (2001). Integrable evolution equations in time-dependent domains.

*Inverse Problems*,*17*(4), 919-935. https://doi.org/10.1088/0266-5611/17/4/323