Revealing hidden nonlinear soliton dynamics, multistable regimes, and chaotic transitions in regularized long-wave equations under complex external forcing.

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Title: Revealing hidden nonlinear soliton dynamics, multistable regimes, and chaotic transitions in regularized long-wave equations under complex external forcing.
Authors: Riaz MB; IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.; Department of Mathematics, University of Management and Technology, Lahore, Pakistan., Iqbal M; Department of Mathematics, University of Management and Technology, Lahore, Pakistan. iqbalakhtar167@gmail.com., Aziz Ur Rehman M; Department of Mathematics, University of Management and Technology, Lahore, Pakistan., Jameel A; Department of Mathematics, University of Management and Technology, Lahore, Pakistan., Kazmi SS; IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.; Faculty of Electrical Engineering and Computer Science, VSB - Technical University of Ostrava, Ostrava, Czech Republic.
Source: Scientific reports [Sci Rep] 2026 Jul 08. Date of Electronic Publication: 2026 Jul 08.
Publication Type: Journal Article
Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: MEDLINE
Database: MEDLINE Ultimate
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  Data: Revealing hidden nonlinear soliton dynamics, multistable regimes, and chaotic transitions in regularized long-wave equations under complex external forcing.
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  Data: <searchLink fieldCode="AU" term="%22Riaz+MB%22">Riaz MB</searchLink>; IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.; Department of Mathematics, University of Management and Technology, Lahore, Pakistan.<br /><searchLink fieldCode="AU" term="%22Iqbal+M%22">Iqbal M</searchLink>; Department of Mathematics, University of Management and Technology, Lahore, Pakistan. iqbalakhtar167@gmail.com.<br /><searchLink fieldCode="AU" term="%22Aziz+Ur+Rehman+M%22">Aziz Ur Rehman M</searchLink>; Department of Mathematics, University of Management and Technology, Lahore, Pakistan.<br /><searchLink fieldCode="AU" term="%22Jameel+A%22">Jameel A</searchLink>; Department of Mathematics, University of Management and Technology, Lahore, Pakistan.<br /><searchLink fieldCode="AU" term="%22Kazmi+SS%22">Kazmi SS</searchLink>; IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.; Faculty of Electrical Engineering and Computer Science, VSB - Technical University of Ostrava, Ostrava, Czech Republic.
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  Data: <searchLink fieldCode="JN" term="%22101563288%22">Scientific reports</searchLink> [Sci Rep] 2026 Jul 08. <i>Date of Electronic Publication: </i>2026 Jul 08.
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  Data: <i>Publisher: </i><searchLink fieldCode="PB" term="%22Nature+Publishing+Group%22">Nature Publishing Group </searchLink><i>Country of Publication: </i>England <i>NLM ID: </i>101563288 <i>Publication Model: </i>Print-Electronic <i>Cited Medium: </i>Internet <i>ISSN: </i>2045-2322 (Electronic) <i>Linking ISSN: </i><searchLink fieldCode="IS" term="%2220452322%22">20452322 </searchLink><i>NLM ISO Abbreviation: </i>Sci Rep <i>Subsets: </i>MEDLINE
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      – Type: doi
        Value: 10.1038/s41598-026-58399-w
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      – Code: eng
        Text: English
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      – TitleFull: Revealing hidden nonlinear soliton dynamics, multistable regimes, and chaotic transitions in regularized long-wave equations under complex external forcing.
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            NameFull: Iqbal M
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            NameFull: Aziz Ur Rehman M
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            – D: 08
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              Text: 2026 Jul 08
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              Y: 2026
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