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Dynamics of Solitons in the One-Dimensional Nonlinear Schrödinger Equation [article]

Tobias Ilg, Ramona Tschüter, Andrej Junginger, Jörg Main, Günter Wunner
<span title="2016-09-12">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We investigate bright solitons in the one-dimensional Schr\"odinger equation in the framework of an extended variational approach. We apply the latter to the stationary ground state of the system as well as to coherent collisions between two or more solitons. Using coupled Gaussian trial wave functions, we demonstrate that the variational approach is a powerful method to calculate the soliton dynamics. This method has the advantage that it is computationally faster compared to numerically exact
more &raquo; ... grid calculations. In addition, it goes far beyond the capability of analytical ground state solutions, because the variational approach provides the ability to treat excited solitons as well as dynamical interactions between different wave packets. To demonstrate the power of the variational approach, we calculate the stationary ground state of the soliton and compare it with the analytical solution showing the convergence to the exact solution. Furthermore, we extend our calculations to nonstationary solitons by investigating the breathing oscillations of excited solitons and the coherent collisions of several wave packets in both the low- and high-energy regime. Comparisons of the variational approach with numerically exact simulations on grids reveal excellent agreement in the high-energy regime while deviations can be observed for low energies.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1605.06317v2">arXiv:1605.06317v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rn5geqmsszep5mouk3kkcufpym">fatcat:rn5geqmsszep5mouk3kkcufpym</a> </span>
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Interchanging lexical resources on the Semantic Web

John McCrae, Guadalupe Aguado-de-Cea, Paul Buitelaar, Philipp Cimiano, Thierry Declerck, Asunción Gómez-Pérez, Jorge Gracia, Laura Hollink, Elena Montiel-Ponsoda, Dennis Spohr, Tobias Wunner
<span title="2012-05-08">2012</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qiptgj2ubngu3hrrsrkbdvpchi" style="color: black;">Language Resources and Evaluation</a> </i> &nbsp;
Lexica and terminology databases play a vital role in many NLP applications, but currently most such resources are published in application-specific formats, or with custom access interfaces, leading to the problem that much of this data is in "data silos" and hence difficult to access. The Semantic Web and in particular the Linked Data initiative provides effective solutions to this problem, as well as interesting possibilities for data reuse by inter-lexicon linking, and incorporation of data
more &raquo; ... categories by dereferencable URIs. The Semantic Web focuses on the use of ontologies to describe semantics on the Web, but currently there is no standard for providing complex lexical information for such ontologies and for describing the relationship between the lexicon and the ontology. We present our model, lemon, which aims to address these gaps while building on existing work, in particular the Lexical Markup Framework, the ISOcat Data Category Registry, SKOS (Simple Knowledge Organization System) and the LexInfo and LIR ontology-lexicon models.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10579-012-9182-3">doi:10.1007/s10579-012-9182-3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/67yzsekh7vffpjkfcw72bv66mi">fatcat:67yzsekh7vffpjkfcw72bv66mi</a> </span>
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Page 579 of Best Sellers Vol. 31, Issue 24 [page]

<span title="1972-03-15">1972</span> <i title="University of Scranton"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_best-sellers" style="color: black;">Best Sellers </a> </i> &nbsp;
, Wunnerful” (I) 331 Wells, Tobias, “The Foo Dog” (I) 385 Wells, Tobias, “What to Do Until the Undertaker Comes” (IIa) 47 Welty, Eudora, “Losing Battles” (IIa) 363 Werstein, Irving, “The Boxer Rebellion  ...  233 Weintraub, Stanley, “Journey to Heartbreak” (IIa) 232 Weisberg, Harold, “Frame-Up” (Ila) 14 Weisberger, Bernard A., “The American Heritage History of the American People” (I) 512 Welk, Lawrence, “Wunnerful  ... 
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XBRL and open data for global financial ecosystems: A linked data approach

Seán O'Riain, Edward Curry, Andreas Harth
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wfh6ild5kbbxxby6ijhuuigapu" style="color: black;">International Journal of Accounting Information Systems</a> </i> &nbsp;
We would also like to thank Tobias Wunner and Benedikt Kämpgen whose research contributed to the XBRL examples and figures used. 29 SPARQL Inferencing Notation modelling vocabulary of RDF used to specify  ...  XBRL taxonomies have also been applied as domain knowledge sources for multilingual fact interpretation and extraction (Wunner et al., 2010) .  ...  , 2008) and transforming XBRL taxonomies and instances into RDF to provide business users transparent access to company information across national and linguistic boundaries have been demonstrated (Wunner  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.accinf.2012.02.002">doi:10.1016/j.accinf.2012.02.002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/b2lkbp2n4vgedksdd777fdxudy">fatcat:b2lkbp2n4vgedksdd777fdxudy</a> </span>
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Page 2527 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(English summary) 2003k:82057 Kuna, Tobias * Studies in configuration space analysis and applications. 2003k:82058 Kupferman, Raz sce Hald, Ole H., 2003d:82059 Landim, C. see Bertini, Lorenzo et al., 2003k  ...  (English summary) 2003¢:82042 Wunner, Ginter sce Weibert, Kirsten et al., 2003¢:82042 Yukaloy, V. 1. Stochastic instability of quasi-isolated systems. (English summary 2003f:82053 van Zon, R.  ... 
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CHAPTER XI: INDIVIDUAL MEMBERSHIP

<span title="2010-05-14">2010</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/djnl2eulfjdwxplyqzspykhc2m" style="color: black;">Proceedings of the International Astronomical Union</a> </i> &nbsp;
Wolfschmidt, Gudrun Hazlehurst, John Rauch, Thomas Wucknitz, Olaf Heber, Ulrich Rauer, Heike Wunner, Guenter Hefele, Herbert Reffert, Sabine Wyrowski, Friedrich Hegmann, Michael Reich, Wolfgang  ...  Mao, Shude Thomson, Robert 400 CHAPTER XI de Grijs, Richard Marek, John Tobias, Steven Dent, William Marsh, Thomas Tout, Christopher Dewhirst, David Marshall, Kevin Tritton, Keith Dhillon  ... 
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CHAPTER XI: COMMISSIONS MEMBERSHIP

<span title="">2013</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/djnl2eulfjdwxplyqzspykhc2m" style="color: black;">Proceedings of the International Astronomical Union</a> </i> &nbsp;
Ulyanov, Oleg van Rensbergen, Walter Varshalovich, Dmitrij Vasta, Magda Vavrek, Roland Voelk, Heinrich Vujnovic, Vladis Wakelam, Valentine WANG, Junxian WANG, Feilu WANG, Junzhi Wiese, Wolfgang Wunner  ...  Mosser, Benoît Mousis, Olivier Mumma, Michael Murphy, Robert NAKAGAWA, Yoshitsugu Nelson, Richard Ness, Norman Nixon, Conor Noll, Keith OHTSUKI , Keiji Ortiz, Jose Owen, Tobias Pang, Kevin  ... 
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Index of Inventions

<span title="1908-02-22">1908</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/buhpjyagg5hqhh72uxskzgenve" style="color: black;">Scientific American</a> </i> &nbsp;
Tobias . ...... .... 878.913 Steam boiler. W. C. PfeiO'er ............... 878.892 Paneling. H. F. Hecker ............•• ..•.•• 878.627 Steam engine. W.  ...  Wunner •••••••••• •.Annealingfnrnace, metal, R. H. Ward .... Door holder. G. Buschur .•.•.............. 878.864 Door lock. W. A. Mal·key .••.........•.... 878.972 Door. metallic. J. E.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/scientificamerican02221908-132c">doi:10.1038/scientificamerican02221908-132c</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xqkrwuly6rf7dmvbo2bnflshja">fatcat:xqkrwuly6rf7dmvbo2bnflshja</a> </span>
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Commission Membership

<span title="">1996</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6lz3awe25zaq5clnrska57jole" style="color: black;">Transactions of the International Astronomical Union</a> </i> &nbsp;
RICHARD A NAKAGAWA YOSHINARI DR NELSON ROBERT M NIARCHOS PANAYIOTIS PH D NORRIS RAYMOND PAUL ODA MINORU PROF OLIVER BERNARD M DR OLIVER BERNARD M PROF OLLONGREN A PROF DR OSTRIKER JEREMIAH P PROF OWEN TOBIAS  ...  CLIFFORD M DR WILLIS ALLAN J DR WILLNER STEVEN PAUL DR WILSON JAMES R DR WILSON ROBERT PROF SIR WINKLER CHRISTOPH DR WOLSTENCROFT RAMON D DR WOLTER ANNA DR WORRALL DIANA MARY WRAY JAMES D DR WU CHI CHAO DR WUNNER  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0251107x00008853">doi:10.1017/s0251107x00008853</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6opwvsoztbgpjmpjxzyjhagof4">fatcat:6opwvsoztbgpjmpjxzyjhagof4</a> </span>
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CHAPTER XII: INDIVIDUAL MEMBERSHIP BY COMMISSION

<span title="2010-05-14">2010</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/djnl2eulfjdwxplyqzspykhc2m" style="color: black;">Proceedings of the International Astronomical Union</a> </i> &nbsp;
Junxian Gabriel, Alan Nave, Gillian Wang, Feilu Gallagher III, John Newsom, Gerald Wiese, Wolfgang Gargaud, Muriel Nicholls, Ralph Winnewisser, Gisbert Glagolevskij, Yurij Nielsen, Krister Wunner  ...  Toro Iniesta, José MacQueen, Robert Tikhomolov, Evgeniy Démoulin, Pascal Makita, Mitsugu Tlamicha, Antonin Deng, YuanYong Malara, Francesco Tlatov, Andrej Dennis, Brian Malherbe, Jean-Marie Tobias  ... 
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Individual Membership By Adhering Country

<span title="">2001</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6lz3awe25zaq5clnrska57jole" style="color: black;">Transactions of the International Astronomical Union</a> </i> &nbsp;
Ter Haar Dirk Terlevich Elena Terlevich Roberto Juan Thoburn Christine Thomas David V Thomas Peter A Thomasson Peter Thomson Robert Tobias Steven M Tout Christopher Tozer David C Tritton Keith  ...  Merzanides Constantinos Metaxa Margarita Moussas Xenophon Niarchos Panayiotis Nicolaidis Efthymios Witzel Arno Woehl Hubertus WolfBernhard WolfRainerEA Wouterloot Jan Gerard A Wuensch Johann Jakob Wunner  ... 
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Composition of Commission 4 Ephemerides/Ephémérides

<span title="">2001</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6lz3awe25zaq5clnrska57jole" style="color: black;">Transactions of the International Astronomical Union</a> </i> &nbsp;
Talon Raoul Tamenaga Tatsuo Tandberg-Hanssen Einar A Tang Yuhua Tapping Kenneth F Ternullo Maurizio Teske Richard G Thomas John H Thomas Roger J Tifrea Emilia Tlamicha Antonin Tlatov Andrew G Tobias  ...  Dishoeck Ewine F van Regemorter Henri van Rensbergen Walter Varshalovich Dimitrij Voelk Heinrich J Volonte Sergio Vujnovic Vladis Weniger Schame Wiese Wolfgang L Wilson Robert Winnewisser Gisbert Wunner  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0251107x00009652">doi:10.1017/s0251107x00009652</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5ovf6qwxnvbadbcg7ig5rf6ieu">fatcat:5ovf6qwxnvbadbcg7ig5rf6ieu</a> </span>
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2. Membership of Commissions

<span title="">1985</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6lz3awe25zaq5clnrska57jole" style="color: black;">Transactions of the International Astronomical Union</a> </i> &nbsp;
JOHN E R DR SCHADEE AERT DR SHORE BRUCE W SMITH PETER L DR SORENSEN GUNNAR DR SUMMERS HUGH P DR TATUM JEREMY B DR TREFFTZ ELEONORE E DR VARSAVSKY C M DR VOLONTE SERGE DR WENIGER SCHAME DR WUNNER  ...  DR LODEN LARS OLOF PROF MARGRAVE THOMAS EWING JR MATSAKIS DEMETRIOS N MCALISTER HAROLD A DR MILET BERNARD L DR MORIMOTO MASAKI DR MORRISON PHILIP PROF NAKAGAWA YOSHINARI DR OLIVER BERNARD M PROF OWEN TOBIAS  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0251107x00026468">doi:10.1017/s0251107x00026468</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3qmy6ne22vdppe7rusxod2hqsi">fatcat:3qmy6ne22vdppe7rusxod2hqsi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180726232528/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2768E83DECCF30A0DD8DB4B977530049/S0251107X00026468a.pdf/div-class-title-2-membership-of-commissions-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/39/f5/39f58828fa8c6167b9f63c14348b81646111f9e9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0251107x00026468"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> cambridge.org </button> </a>

CHAPTER XI: INDIVIDUAL MEMBERSHIP

<span title="">2007</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/djnl2eulfjdwxplyqzspykhc2m" style="color: black;">Proceedings of the International Astronomical Union</a> </i> &nbsp;
Winnewisser Gisbert Wunner Guenter Yoshino Kouichi Young Louise Gray Yu Yan Zeippen Claude Zeng Qin Zhao Gang Zirin Harold 410 411 Di Martino Mario Donn Bertram D.  ...  Tobias Steven M. Tomczak Michal Treumann Rudolf A. Tripathy Sushanta C. Tritakis Basil P. Trottet Gerard Tsap Yuri Tsinganos Kanaris Tuominen Ilkka V. Uddin Wahab Underwood James H.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181030062257/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7B02AB6D90445C77102100A065A62477/S1743921308024393a.pdf/div-class-title-chapter-xi-individual-membership-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1f/89/1f89177661798574b1105bd0b69e73d38b25eb2e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s1743921308024393"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> cambridge.org </button> </a>

Weak Lower Semicontinuity of Integral Functionals and Applications

Barbora Benešová, Martin Kružík
<span title="">2017</span> <i title="Society for Industrial &amp; Applied Mathematics (SIAM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ptdzvkiimng2hoib3gq2mgqyi4" style="color: black;">SIAM Review</a> </i> &nbsp;
We thank Anja Schlömerkemper, Tobias Geiger, and Luisa Wunner for their helpful 44 remarks on an earlier version of the manuscript.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200829193246/https://arxiv.org/pdf/1601.00390v3.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/be/63/be63154fbea77b7abdb2aa7f79a79dbdb01dc780.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/16m1060947"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>
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