Nonconservative higher-order hydrodynamic modulation instability.
Identifieur interne : 000758 ( PubMed/Corpus ); précédent : 000757; suivant : 000759Nonconservative higher-order hydrodynamic modulation instability.
Auteurs : O. Kimmoun ; H C Hsu ; B. Kibler ; A. ChabchoubSource :
- Physical review. E [ 2470-0053 ] ; 2017.
Abstract
The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.
DOI: 10.1103/PhysRevE.96.022219
PubMed: 28950632
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Kibler</name><affiliation><nlm:affiliation>Laboratoire Interdisciplinaire Carnot de Bourgogne-UMR 6303 CNRS/Université Bourgogne Franche-Comté, 21078 Dijon, France.</nlm:affiliation></affiliation></author><author><name sortKey="Chabchoub, A" sort="Chabchoub, A" uniqKey="Chabchoub A" first="A" last="Chabchoub">A. Chabchoub</name><affiliation><nlm:affiliation>Department of Mechanical Engineering, Aalto University, 02150 Espoo, Finland.</nlm:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PubMed</idno><date when="2017">2017</date><idno type="RBID">pubmed:28950632</idno><idno type="pmid">28950632</idno><idno type="doi">10.1103/PhysRevE.96.022219</idno><idno type="wicri:Area/PubMed/Corpus">000758</idno><idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">000758</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en">Nonconservative higher-order hydrodynamic modulation instability.</title><author><name sortKey="Kimmoun, O" sort="Kimmoun, O" uniqKey="Kimmoun O" first="O" last="Kimmoun">O. Kimmoun</name><affiliation><nlm:affiliation>Aix-Marseille University, CNRS, Centrale Marseille, IRPHE, Marseille, France.</nlm:affiliation></affiliation></author><author><name sortKey="Hsu, H C" sort="Hsu, H C" uniqKey="Hsu H" first="H C" last="Hsu">H C Hsu</name><affiliation><nlm:affiliation>Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan.</nlm:affiliation></affiliation></author><author><name sortKey="Kibler, B" sort="Kibler, B" uniqKey="Kibler B" first="B" last="Kibler">B. Kibler</name><affiliation><nlm:affiliation>Laboratoire Interdisciplinaire Carnot de Bourgogne-UMR 6303 CNRS/Université Bourgogne Franche-Comté, 21078 Dijon, France.</nlm:affiliation></affiliation></author><author><name sortKey="Chabchoub, A" sort="Chabchoub, A" uniqKey="Chabchoub A" first="A" last="Chabchoub">A. Chabchoub</name><affiliation><nlm:affiliation>Department of Mechanical Engineering, Aalto University, 02150 Espoo, Finland.</nlm:affiliation></affiliation></author></analytic><series><title level="j">Physical review. E</title><idno type="eISSN">2470-0053</idno><imprint><date when="2017" type="published">2017</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.</div></front></TEI><pubmed><MedlineCitation Status="In-Data-Review" Owner="NLM"><PMID Version="1">28950632</PMID><DateCreated><Year>2017</Year><Month>09</Month><Day>27</Day></DateCreated><DateRevised><Year>2017</Year><Month>09</Month><Day>27</Day></DateRevised><Article PubModel="Print-Electronic"><Journal><ISSN IssnType="Electronic">2470-0053</ISSN><JournalIssue CitedMedium="Internet"><Volume>96</Volume><Issue>2-1</Issue><PubDate><Year>2017</Year><Month>Aug</Month></PubDate></JournalIssue><Title>Physical review. E</Title><ISOAbbreviation>Phys Rev E</ISOAbbreviation></Journal><ArticleTitle>Nonconservative higher-order hydrodynamic modulation instability.</ArticleTitle><Pagination><MedlinePgn>022219</MedlinePgn></Pagination><ELocationID EIdType="doi" ValidYN="Y">10.1103/PhysRevE.96.022219</ELocationID><Abstract><AbstractText>The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is naturally triggered, when unstable energy sidebands located around the main energy peak are excited and then follow an exponential growth law. As a consequence of four wave mixing effect, these primary sidebands generate an infinite number of additional sidebands, forming a triangular sideband cascade. After saturation, it is expected that the system experiences a return to initial conditions followed by a spectral recurrence dynamics. Much complex nonlinear wave field motion is expected, when the secondary or successive sideband pair that is created is also located in the finite instability gain range around the main carrier frequency peak. This latter process is referred to as higher-order MI. We report a numerical and experimental study that confirms observation of higher-order MI dynamics in water waves. Furthermore, we show that the presence of weak dissipation may counterintuitively enhance wave focusing in the second recurrent cycle of wave amplification. The interdisciplinary weakly nonlinear approach in addressing the evolution of unstable nonlinear waves dynamics may find significant resonance in other nonlinear dispersive media in physics, such as optics, solids, superfluids, and plasma.</AbstractText></Abstract><AuthorList CompleteYN="Y"><Author ValidYN="Y"><LastName>Kimmoun</LastName><ForeName>O</ForeName><Initials>O</Initials><AffiliationInfo><Affiliation>Aix-Marseille University, CNRS, Centrale Marseille, IRPHE, Marseille, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Hsu</LastName><ForeName>H C</ForeName><Initials>HC</Initials><AffiliationInfo><Affiliation>Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Kibler</LastName><ForeName>B</ForeName><Initials>B</Initials><AffiliationInfo><Affiliation>Laboratoire Interdisciplinaire Carnot de Bourgogne-UMR 6303 CNRS/Université Bourgogne Franche-Comté, 21078 Dijon, France.</Affiliation></AffiliationInfo></Author><Author ValidYN="Y"><LastName>Chabchoub</LastName><ForeName>A</ForeName><Initials>A</Initials><AffiliationInfo><Affiliation>Department of Mechanical Engineering, Aalto University, 02150 Espoo, Finland.</Affiliation></AffiliationInfo><AffiliationInfo><Affiliation>School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia.</Affiliation></AffiliationInfo></Author></AuthorList><Language>eng</Language><PublicationTypeList><PublicationType UI="D016428">Journal Article</PublicationType></PublicationTypeList><ArticleDate DateType="Electronic"><Year>2017</Year><Month>08</Month><Day>28</Day></ArticleDate></Article><MedlineJournalInfo><Country>United States</Country><MedlineTA>Phys Rev E</MedlineTA><NlmUniqueID>101676019</NlmUniqueID><ISSNLinking>2470-0045</ISSNLinking></MedlineJournalInfo></MedlineCitation><PubmedData><History><PubMedPubDate PubStatus="received"><Year>2017</Year><Month>03</Month><Day>14</Day></PubMedPubDate><PubMedPubDate PubStatus="entrez"><Year>2017</Year><Month>9</Month><Day>28</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="pubmed"><Year>2017</Year><Month>9</Month><Day>28</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate><PubMedPubDate PubStatus="medline"><Year>2017</Year><Month>9</Month><Day>28</Day><Hour>6</Hour><Minute>0</Minute></PubMedPubDate></History><PublicationStatus>ppublish</PublicationStatus><ArticleIdList><ArticleId IdType="pubmed">28950632</ArticleId><ArticleId IdType="doi">10.1103/PhysRevE.96.022219</ArticleId></ArticleIdList></PubmedData></pubmed></record>Pour manipuler ce document sous Unix (Dilib)
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