Reinforcement Operator Learning (ROL): A hybrid DeepONet-guided reinforcement learning framework for stabilizing the Kuramoto–Sivashinsky equation

• Nadim Ahmed,

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Validation, Writing – original draft

  Affiliation Department of Physical Sciences, Independent University, Bangladesh, Dhaka, Bangladesh

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• Md. Ashraful Babu,

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Resources, Writing – review & editing

  Affiliation Department of Physical Sciences, Independent University, Bangladesh, Dhaka, Bangladesh

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• Muhammad Sajjad Hossain ,

  Roles Conceptualization, Software, Supervision, Validation, Writing – original draft, Writing – review & editing

  * E-mail: msh.as@aust.edu

  Affiliation Department of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka, Bangladesh

  https://orcid.org/0000-0002-8060-1214

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• Md. Fayz-Al- Asad,

  Roles Conceptualization, Formal analysis, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, American International University-Bangladesh, Dhaka, Bangladesh

  https://orcid.org/0000-0002-1240-4761

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• Md. Awlad Hossain,

  Roles Formal analysis, Methodology, Writing – review & editing

  Affiliation Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

  https://orcid.org/0009-0008-6017-0948

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• Md. Mortuza Ahmmed,

  Roles Investigation, Software, Writing – original draft

  Affiliation Department of Mathematics, American International University-Bangladesh, Dhaka, Bangladesh

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• M. Mostafizur Rahman,

  Roles Data curation, Formal analysis, Resources, Writing – review & editing

  Affiliation Department of Mathematics, American International University-Bangladesh, Dhaka, Bangladesh

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• Mufti Mahmud

  Roles Conceptualization, Data curation, Formal analysis, Investigation, Validation, Writing – original draft, Writing – review & editing

  Affiliations Department of Information and Computer Science, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, SDAIA-KFUPM Joint Research Center for AI, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, Interdisciplinary Research Center for Bio Systems and Machines, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

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