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Symmetry and Integrability of $$\mathcal{P}\mathcal{T}$$-Symmetric Semi-discrete Short pulse equation: A study of Rogue, Breather, and Soliton Solutions

Asifa AshrafNew Uzbekistan University, Mustaqillik Ave. 54, 100007, Tashkent, UzbekistanZeeshan AmjadSchool of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, 321004, ChinaWen‐Xiu MaDepartment of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi ArabiaNauman RazaMathematics Research Center, Near East University, Near East Boulevard, Mersin 10, Nicosia, Turkey

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