discrete solitons
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2021 ◽  
pp. 111593
Author(s):  
Houwe Alphonse ◽  
Philippe Djorwe ◽  
Souleymanou Abbagari ◽  
Serge Yamigno Doka ◽  
S.G. Nana Engo
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Author(s):  
Wael Sulayman Miftah Ammar ◽  
Ying Shi

Bores propagating in shallow water transform into undular bores and, finally, into trains of solitons. The observed number and height of these undulations and later discrete solitons are strongly dependent on the propagation length of the bore. Empirical results show that the final height of the leading soliton in the far-field is twice the initial mean bore height. The complete disintegration of the initial bore into a train of solitons requires very long propagation, but unfortunately, these required distances are usually not available in experimental tests of nature. Therefore, the analysis of the bore decomposition for experimental data into solitons is complicated and requires different approaches. Previous studies have shown that by applying the nonlinear Fourier transform based on the Ko- rteweg–de Vries equation (KdV-NFT) to bores and long-period waves propagating in constant depth, the number and height of all solitons can be reliably predicted already based on the initial bore-shaped free surface. Against this background, this study presents the systematic analysis of the leading-soliton amplitudes for non-breaking and breaking bores with different strengths in different water depths to validate the KdV-NFT results for non-breaking bores to show the limitations of wave breaking on the spectral results. The analytical results are compared with data from experimental tests, numerical simulations and other approaches from the literature.


2020 ◽  
Vol 95 (8) ◽  
pp. 085107 ◽  
Author(s):  
Alaa Shaheen ◽  
Amaria Javed ◽  
U Al Khawaja

2020 ◽  
Vol 384 (26) ◽  
pp. 126654
Author(s):  
Amaria Javed ◽  
Alaa Shaheen ◽  
U. Al Khawaja

Author(s):  
Markus Bruehl ◽  
Sander Wahls ◽  
Ignacio Barranco Granged ◽  
Philipp L.-F. Liu

Abstract Bores propagating in shallow water transform into undular bores and, finally, into trains of solitons. The observed number and height of these undulations, and later discrete solitons, is strongly dependent on the propagation length of the bore. Empirical results show that the final height of the leading soliton in the far-field is twice the initial mean bore height. The complete disintegration of the initial bore into a train of solitons requires very long propagation lengths, but unfortunately these required distances are usually not available in experimental tests or nature. Therefore, the analysis of the bore decomposition for experimental data into solitons is difficult and requires further approaches. Previous studies have shown that by application of the nonlinear Fourier transform based on the Korteweg–de Vries equation (KdV-NFT) to bores and long-period waves propagating in constant depth, the number and height of all solitons can be reliably predicted already based on the initial bore-shaped free surface. Against this background, this study presents the systematic analysis of the leading-soliton amplitudes for non-breaking and breaking bores with different strengths in different water depths in order to validate the KdV-NFT results for non-breaking bores, and to show the limitations of wave breaking on the spectral results. The analytical results are compared with data from experimental tests, numerical simulations and other approaches from literature.


2020 ◽  
Vol 384 (24) ◽  
pp. 126448
Author(s):  
Jinzhou Hu ◽  
Shulan Li ◽  
Zhaopin Chen ◽  
Jiantao Lü ◽  
Bin Liu ◽  
...  

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