The inverse problem for periodic travelling waves of the linear 1D shallow-water equations

被引：1

作者：

Hakl, Robert ^{[1
]}

Torres, Pedro J. ^{[2
]}

机构：

[1] CAS, Inst Math, Zizkova 22, Brno 61662, Czech Republic

[2] Univ Granada, Res Unit, Dept Matemat Aplicada & Modeling Nat MNat, E-18071 Granada, Spain

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2025年 / 472卷

关键词：

Shallow-water equations; Variable bottom profile; Travelling wave; Periodic; Inverse problem;

D O I：

10.1016/j.physd.2024.134496

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the linear 1D shallow-water system with a variable bottom profile, we study the inverse problem of the existence of a periodic bottom profile that allows a periodic travelling wave with prescribed amplitude q(x).

引用

页数：10

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