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DESCRIPTION:Abstract: It is commonly known that the interplay of linear and
  nonlinear effects gives rise to solitons\, i.e.\, self-trapped localized 
 structures\, in a wide range of physical settings\, including optics\, Bos
 e-Einstein condensates (BECs)\, hydrodynamics\, plasmas\, condensed-matter
  physics\, etc. Nowadays\, solitons are considered as an interdisciplinary
  class of modes\, which feature diverse internal structures.\nWhile most e
 xperimental realizations and theoretical models of solitons have been elab
 orated in one-dimensional (1D) settings\, a challenging issue is predictio
 n of stable solitons in 2D and 3D media. In particular\, multidimensional 
 solitons may carry an intrinsic topological structure in the form of vorti
 city. In addition to the &quot;simple&quot; vortex solitons\, fascinating objects fe
 aturing complex structures\, such as hopfions\, i.e.\, vortex rings with i
 nternal twist\, have been predicted too.\n\nA fundamental problem is the p
 ropensity of multidimensional solitons to be unstable (naturally\, soliton
 s with a more sophisticated structure\, such as vortex solitons\, are more
  vulnerable to instabilities). Recently\, novel perspectives for the creat
 ion of stable 2D and 3D solitons were brought to the attention of research
 ers inoptics and BEC. The present talk aims to provide an overview of the 
 main results and ongoing developments in this vast field. An essential con
 clusion is the benefit offered by the exchange of concepts between differe
 nt areas\, such as optics\, BEC\, and hydrodynamics.\n\nRecent review arti
 cles and a book on the subject of the talk:\n\nY. Kartashov\, G. Astrakhar
 chik\, B. Malomed\, and L. Torner\,\n\nFrontiers in multidimensional self-
 trapping of nonlinear fields and matter\,\n\nNature Reviews Physics 1\, 18
 5-197 (2019)\n\nhttps://doi.org/10.1038/s42254-019-0025-7.\n\nB. A. Malome
 d\, (INVITED) Vortex solitons: Old results and new perspectives\,\n\nPhysi
 ca D 399\, 108-137 (2019)\n\nhttps://doi.org/10.1016/j.physd.2019.04.009\;
 \n\nfree access: https://authors.elsevier.com/a/1ZXATc2Eea3QG\n\nZ. Luo\, 
 W. Pang\, B. Liu\, Y. Li\, and B. A. Malomed\, A new form of liquid matter
 :\n\nquantum droplets\, Front. Phys. 16\, 32501 (2021)\n\nhttps://link.spr
 inger.com/article/10.1007/s11467-020-1020-2.\n\nB. A. Malomed\, Multidimen
 sional dissipative solitons and solitary vortices\,\n\nChaos\, Solitons &amp; 
 Fractals 163\, 112526 (2022)\n\nhttps://doi.org/10.1016/j.chaos.2022.11252
 6.\n\nB. A. Malomed\, Multidimensional Soliton Systems\, Advances in Physi
 cs X 9:1\,\n\n2301592 (2024).\n\nG. Li\, Z. Zhao\, B. Liu\, Y. Li\, Y. V. 
 Kartashov\, and B. A. Malomed\, Can vortex\n\nquantum droplets be realized
  experimentally? Frontiers of Phys. 20\, 013401 (2025).\n\nB. A. Malomed\,
  Prediction and observation of topological modes in fractal nonlinear\n\no
 ptics\, Light: Science &amp; Applications 14\, 29 (2025).\n\nB. A. Malomed\, M
 ultidimensional solitons (a book)\, AIP (American Institute of Physics)\n\
 nPublishing\, Melville\, NY\, 2022.\n\nCo-sponsored by: Prof. Nicolas Ques
 ada\n\nSpeaker(s): Boris\n\nJ. Armand Bombardier J-2074\, Polytechnique Mo
 ntréal\, Montréal\, Quebec\, Canada\, H3T 1J4
LOCATION:J. Armand Bombardier J-2074\, Polytechnique Montréal\, Montréal\
 , Quebec\, Canada\, H3T 1J4
ORGANIZER:Benjamin.crockett@ieee.org
SEQUENCE:182
SUMMARY:Multidimensional Solitons
URL;VALUE=URI:https://events.vtools.ieee.org/m/478558
X-ALT-DESC:Description: &lt;br /&gt;&lt;div&gt;&lt;img src=&quot;https://events.vtools.ieee.org
 /vtools_ui/media/display/af827f4a-7daa-468c-ac0e-3c21f0d6ea3a&quot;&gt;&lt;/div&gt;\n&lt;di
 v&gt;&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;&lt;strong&gt;Abstract: &lt;/strong&gt;It is commonly known that
  the interplay of&amp;nbsp\;&amp;nbsp\;linear and nonlinear effects gives rise to 
 solitons\, i.e.\, self-trapped localized structures\, in a wide range of p
 hysical settings\, including optics\, Bose-Einstein condensates (BECs)\, h
 ydrodynamics\, plasmas\, condensed-matter physics\, etc. Nowadays\, solito
 ns are considered as an interdisciplinary class of modes\, which feature d
 iverse internal structures.\n&lt;p class=&quot;MsoNormal&quot;&gt;While&amp;nbsp\;most&amp;nbsp\;e
 xperimental&amp;nbsp\;realizations&amp;nbsp\;and&amp;nbsp\;theoretical&amp;nbsp\;models&amp;nb
 sp\;of solitons have been&amp;nbsp\;elaborated&amp;nbsp\;in one-dimensional&amp;nbsp\;
 (1D) settings\,&amp;nbsp\;&amp;nbsp\;a&amp;nbsp\;challenging&amp;nbsp\;issue&amp;nbsp\;is&amp;nbsp
 \;prediction&amp;nbsp\;of stable solitons in 2D and 3D media. In&amp;nbsp\;particu
 lar\,&amp;nbsp\;multidimensional&amp;nbsp\;solitons&amp;nbsp\;may&amp;nbsp\;carry an&amp;nbsp\
 ;intrinsic&amp;nbsp\;topological&amp;nbsp\;structure in the&amp;nbsp\;form&amp;nbsp\;of&amp;nb
 sp\;vorticity. In addition to the &quot;simple&quot; vortex solitons\,&amp;nbsp\;fascina
 ting&amp;nbsp\;objects&amp;nbsp\;featuring&amp;nbsp\;complex&amp;nbsp\;structures\,&amp;nbsp\;
 such&amp;nbsp\;as&amp;nbsp\;hopfions\, i.e.\, vortex rings&amp;nbsp\;with&amp;nbsp\;intern
 al&amp;nbsp\;twist\, have been&amp;nbsp\;predicted&amp;nbsp\;too.&lt;/p&gt;\n&lt;p class=&quot;MsoNo
 rmal&quot;&gt;A&amp;nbsp\;fundamental&amp;nbsp\;problem&amp;nbsp\;is&amp;nbsp\;the&amp;nbsp\;propensit
 y&amp;nbsp\;of&amp;nbsp\;multidimensional&amp;nbsp\;solitons to&amp;nbsp\;be&amp;nbsp\;unstabl
 e&amp;nbsp\;(naturally\, solitons&amp;nbsp\;with&amp;nbsp\;a more&amp;nbsp\;sophisticated&amp;
 nbsp\;structure\,&amp;nbsp\;such&amp;nbsp\;as vortex solitons\, are more&amp;nbsp\;vul
 nerable&amp;nbsp\;to&amp;nbsp\;instabilities).&amp;nbsp\;Recently\,&amp;nbsp\;novel&amp;nbsp\;
 perspectives for the&amp;nbsp\;creation&amp;nbsp\;of stable 2D and 3D solitons&amp;nbs
 p\;were&amp;nbsp\;brought&amp;nbsp\;to the attention of&amp;nbsp\;researchers&amp;nbsp\;in
 optics&amp;nbsp\;and BEC. The&amp;nbsp\;present&amp;nbsp\;talk&amp;nbsp\;aims&amp;nbsp\;to&amp;nbs
 p\;provide&amp;nbsp\;an&amp;nbsp\;overview&amp;nbsp\;of the main&amp;nbsp\;results&amp;nbsp\;a
 nd&amp;nbsp\;ongoing&amp;nbsp\;developments&amp;nbsp\;in&amp;nbsp\;this&amp;nbsp\;vast&amp;nbsp\;f
 ield. An essential conclusion&amp;nbsp\;is&amp;nbsp\;the&amp;nbsp\;benefit&amp;nbsp\;offer
 ed&amp;nbsp\;by the exchange of concepts&amp;nbsp\;between&amp;nbsp\;different&amp;nbsp\;a
 reas\,&amp;nbsp\;such&amp;nbsp\;as&amp;nbsp\;optics\, BEC\, and&amp;nbsp\;hydrodynamics.&lt;/
 p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Recent&amp;nbsp\;review&amp;nbsp\;articles and a book on 
 the&amp;nbsp\;subject&amp;nbsp\;of the talk:&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Y.&amp;nbsp\;Ka
 rtashov\, G.&amp;nbsp\;Astrakharchik\, B.&amp;nbsp\;Malomed\, and L.&amp;nbsp\;Torner\
 ,&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Frontiers&amp;nbsp\;in&amp;nbsp\;multidimensional&amp;nbsp
 \;self-trapping&amp;nbsp\;of&amp;nbsp\;nonlinear&amp;nbsp\;fields&amp;nbsp\;and&amp;nbsp\;matt
 er\,&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Nature&amp;nbsp\;Reviews&amp;nbsp\;Physics&amp;nbsp\;1\
 , 185-197 (2019)&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;&lt;a href=&quot;https://doi.org/10.103
 8/s42254-019-0025-7&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; data-safere
 directurl=&quot;https://www.google.com/url?q=https://doi.org/10.1038/s42254-019
 -0025-7&amp;amp\;source=gmail&amp;amp\;ust=1743351430311000&amp;amp\;usg=AOvVaw0Mxbd4Z
 pLyH3vInepOml4y&quot;&gt;https://doi.org/10.1038/&lt;wbr&gt;s42254-019-0025-7&lt;/a&gt;.&amp;nbsp\
 ;&amp;nbsp\;&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;B. A.&amp;nbsp\;Malomed\, (INVITED) Vortex 
 solitons: Old&amp;nbsp\;results&amp;nbsp\;and new perspectives\,&lt;/p&gt;\n&lt;p class=&quot;Ms
 oNormal&quot;&gt;Physica&amp;nbsp\;D 399\, 108-137 (2019)&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;&lt;a
  href=&quot;https://doi.org/10.1016/j.physd.2019.04.009&quot; target=&quot;_blank&quot; rel=&quot;n
 oopener noreferrer&quot; data-saferedirecturl=&quot;https://www.google.com/url?q=htt
 ps://doi.org/10.1016/j.physd.2019.04.009&amp;amp\;source=gmail&amp;amp\;ust=174335
 1430311000&amp;amp\;usg=AOvVaw3t9o2KEzbGVBMCX27f1i9v&quot;&gt;https://doi.org/10.1016/
 j.&lt;wbr&gt;physd.2019.04.009&lt;/a&gt;\;&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;free&amp;nbsp\;access
 :&amp;nbsp\;&lt;a href=&quot;https://authors.elsevier.com/a/1ZXATc2Eea3QG&quot; target=&quot;_bl
 ank&quot; rel=&quot;noopener noreferrer&quot; data-saferedirecturl=&quot;https://www.google.co
 m/url?q=https://authors.elsevier.com/a/1ZXATc2Eea3QG&amp;amp\;source=gmail&amp;amp
 \;ust=1743351430311000&amp;amp\;usg=AOvVaw12P3jh1XSuA8C_sMrJuF_B&quot;&gt;https://auth
 ors.elsevier.com/&lt;wbr&gt;a/1ZXATc2Eea3QG&lt;/a&gt;&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Z. Luo
 \, W.&amp;nbsp\;Pang\, B. Liu\, Y. Li\, and B. A.&amp;nbsp\;Malomed\, A new&amp;nbsp\;
 form&amp;nbsp\;of&amp;nbsp\;liquid&amp;nbsp\;matter:&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;quantum
  droplets\, Front. Phys. 16\, 32501 (2021)&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;&lt;a hr
 ef=&quot;https://link.springer.com/article/10.1007/s11467-020-1020-2&quot; target=&quot;_
 blank&quot; rel=&quot;noopener noreferrer&quot; data-saferedirecturl=&quot;https://www.google.
 com/url?q=https://link.springer.com/article/10.1007/s11467-020-1020-2&amp;amp\
 ;source=gmail&amp;amp\;ust=1743351430311000&amp;amp\;usg=AOvVaw0WUTjJ2X1fUqltfPFoN
 dBL&quot;&gt;https://link.springer.com/&lt;wbr&gt;article/10.1007/s11467-020-&lt;wbr&gt;1020-2
 &lt;/a&gt;.&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;B. A.&amp;nbsp\;Malomed\,&amp;nbsp\;Multidimension
 al&amp;nbsp\;dissipative solitons and&amp;nbsp\;solitary&amp;nbsp\;vortices\,&lt;/p&gt;\n&lt;p 
 class=&quot;MsoNormal&quot;&gt;Chaos\, Solitons &amp;amp\; Fractals 163\, 112526 (2022)&lt;/p&gt;
 \n&lt;p class=&quot;MsoNormal&quot;&gt;&lt;a href=&quot;https://doi.org/10.1016/j.chaos.2022.11252
 6&quot; target=&quot;_blank&quot; rel=&quot;noopener noreferrer&quot; data-saferedirecturl=&quot;https:/
 /www.google.com/url?q=https://doi.org/10.1016/j.chaos.2022.112526&amp;amp\;sou
 rce=gmail&amp;amp\;ust=1743351430311000&amp;amp\;usg=AOvVaw1pONEb1nWADEz3vyQHLtOA&quot;
 &gt;https://doi.org/10.1016/j.&lt;wbr&gt;chaos.2022.112526&lt;/a&gt;.&lt;/p&gt;\n&lt;p class=&quot;MsoN
 ormal&quot;&gt;B. A.&amp;nbsp\;Malomed\,&amp;nbsp\;Multidimensional&amp;nbsp\;Soliton&amp;nbsp\;Sy
 stems\,&amp;nbsp\;Advances&amp;nbsp\;in&amp;nbsp\;Physics&amp;nbsp\;X 9:1\,&lt;/p&gt;\n&lt;p class=
 &quot;MsoNormal&quot;&gt;2301592 (2024).&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;G. Li\, Z. Zhao\, B.
  Liu\, Y. Li\, Y. V.&amp;nbsp\;Kartashov\, and B. A.&amp;nbsp\;Malomed\, Can vorte
 x&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;quantum droplets be realized experimentally? F
 rontiers of Phys. 20\, 013401 (2025).&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;B. A.&amp;nbsp
 \;Malomed\,&amp;nbsp\;Prediction&amp;nbsp\;and observation of&amp;nbsp\;topological&amp;nb
 sp\;modes in fractal&amp;nbsp\;nonlinear&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;optics\, Li
 ght: Science &amp;amp\; Applications 14\, 29 (2025).&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;
 &gt;B. A.&amp;nbsp\;Malomed\,&amp;nbsp\;Multidimensional&amp;nbsp\;solitons (a&amp;nbsp\;book
 )\, AIP (American Institute of&amp;nbsp\;Physics)&lt;/p&gt;\n&lt;p class=&quot;MsoNormal&quot;&gt;Pu
 blishing\, Melville\, NY\, 2022.&lt;/p&gt;\n&lt;/div&gt;
END:VEVENT
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