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Application of KdV Equations in Policy-Making for Extreme Wave and Tsunami Predictions in Vulnerable Societies

Jurnal Ilmiah Peuradeun · Vol. 13 No. 3 (2025) · hlm. 2121–2144

DOI
10.26811/peuradeun.v13i3.1046
ISSN
2443-2067, 2338-8617
Terbit
2025-09-30
Penerbit
SCAD Independent
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

This study aims to examine the possibility of implementing the KdV equations for policymaking in vulnerable communities. It is crucial as Indonesia is located between two continents and two large oceans, significantly influencing marine phenomena, such as the frequent occurrence of extreme waves. Additionally, seismic activity can cause earthquakes with the potential to trigger tsunamis. Therefore, continuous research on extreme waves and tsunamis is required. This research provides a semi-analytical solution to the KdV equation using disturbance parameters, carried out from the first to the seventh order, to generate maximum waves. In this study, the modified KdV equation considers the bichromatic wave input, 2 wavenumber expansion equations using perturbation theory and Taylor series, and η expansion using perturbation theory to produce a seventh-order solution. This solution differs from third-order and fifth-order solutions in the context of higher-order influences, with the peak distance found to be closer than the initial point. It may indicate that the higher-order effects of the solution influence the maximum peak of the wave. The results of this research contribute to a progressive step in helping communities vulnerable to extreme waves and tsunamis.

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6 penulis · 9 tautan kepenulisan bersama · 5 lintas organisasi

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  • Universitas Islam Negeri Ar-Raniry
  • Kanazawa University
  • Organisasi berbeda
  • Organisasi sama
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Rekan penulisOrganisasiArtikel bersama
Thia Mareta IzmiUniversitas Islam Negeri Ar-Raniry1
Burhanuddin AGiUniversitas Islam Negeri Ar-Raniry1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.scadindependent.org/index.php/jipeuradeun/oai, pertama di-harvest 7 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en">Application of KdV Equations in Policy-Making for Extreme Wave and Tsunami Predictions in Vulnerable Societies</dc:title>
	<dc:creator xml:lang="en">Azhari, Budi</dc:creator>
	<dc:creator xml:lang="en">Ikhwali, M. Faisi</dc:creator>
	<dc:creator xml:lang="en">Nur, Suardi</dc:creator>
	<dc:creator xml:lang="en">Apriliani, Vina</dc:creator>
	<dc:subject xml:lang="en">KdV Equation</dc:subject>
	<dc:subject xml:lang="en">Interference Parameters</dc:subject>
	<dc:subject xml:lang="en">Extreme Waves</dc:subject>
	<dc:subject xml:lang="en">Social Sciences (miscellaneous)</dc:subject>
	<dc:subject xml:lang="en">Art and Humanities</dc:subject>
	<dc:subject xml:lang="en">Social Sciences</dc:subject>
	<dc:subject xml:lang="en">Humanities and Cultural Studies</dc:subject>
	<dc:description xml:lang="en">This study aims to examine the possibility of implementing the KdV equations for policymaking in vulnerable communities. It is crucial as Indonesia is located between two continents and two large oceans, significantly influencing marine phenomena, such as the frequent occurrence of extreme waves. Additionally, seismic activity can cause earthquakes with the potential to trigger tsunamis. Therefore, continuous research on extreme waves and tsunamis is required. This research provides a semi-analytical solution to the KdV equation using disturbance parameters, carried out from the first to the seventh order, to generate maximum waves. In this study, the modified KdV equation considers the bichromatic wave input , 2 wavenumber expansion equations using perturbation theory and Taylor series, and η expansion using perturbation theory to produce a seventh-order solution. This solution differs from third-order and fifth-order solutions in the context of higher-order influences, with the peak distance found to be closer than the initial point. It may indicate that the higher-order effects of the solution influence the maximum peak of the wave. The results of this research contribute to a progressive step in helping communities vulnerable to extreme waves and tsunamis.</dc:description>
	<dc:publisher xml:lang="en">SCAD Independent</dc:publisher>
	<dc:date>2025-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.scadindependent.org/index.php/jipeuradeun/article/view/1046</dc:identifier>
	<dc:identifier>10.26811/peuradeun.v13i3.1046</dc:identifier>
	<dc:source xml:lang="en">Jurnal Ilmiah Peuradeun; Vol. 13 No. 3 (2025): Jurnal Ilmiah Peuradeun; 2121-2144</dc:source>
	<dc:source>2443-2067</dc:source>
	<dc:source>2338-8617</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.scadindependent.org/index.php/jipeuradeun/article/view/1046/994</dc:relation>
	<dc:relation>https://journal.scadindependent.org/index.php/jipeuradeun/article/view/1046/1104</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Budi Azhari, M. Faisi Ikhwali, Suardi Nur, Vina Apriliani (Author)</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>