Print Email Facebook Twitter Soliton phase shift calculation for the Korteweg–de Vries equation Title Soliton phase shift calculation for the Korteweg–de Vries equation Author Prins, Peter J. (TU Delft Team Sander Wahls) Wahls, S. (TU Delft Team Sander Wahls) Date 2019 Abstract Several non-linear fluid mechanical processes, such as wave propagation in shallow water, are known to generate solitons: localized waves of translation. Solitons are often hidden in a wave packet at the beginning and only reveal themselves in the far-field. With a special signal processing technique known as the non-linear Fourier transform (NFT), solitons can be detected and characterized before they emerge. In this paper, we present a new algorithm aimed at computing the phase shift of solitons in processes governed by the Korteweg–de Vries (KdV) equation. In numerical examples, the new algorithm is found to perform reliably even in cases where existing algorithms break down. Subject Korteweg–de Vries (KdV) equationnon-linear Fourier transform (NFT)norming constantsolitonwater waveEigenvalues and eigenfunctionsSolitonsMathematical modelFourier transformsSurface wavesScatteringSignal processing algorithms To reference this document use: http://resolver.tudelft.nl/uuid:bc866c9c-7fe9-450a-ba8a-4e1bd78e1fd9 DOI https://doi.org/10.1109/ACCESS.2019.2932256 ISSN 2169-3536 Source IEEE Access, 7 (1), 122914-122930 Part of collection Institutional Repository Document type journal article Rights © 2019 Peter J. Prins, S. Wahls Files PDF 08782466.pdf 3.58 MB Close viewer /islandora/object/uuid:bc866c9c-7fe9-450a-ba8a-4e1bd78e1fd9/datastream/OBJ/view