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The investigation of various gravitational soliton profiles for Einstein’s vacuum field equations under the unified Hirota bilinear approach

潘超红School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, ChinaAllah DittaDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, 54000, PakistanIrfan MahmoodCentre for High Energy Physics, University of the Punjab, Lahore, PakistanAbaid ur Rehman VirkNadia CheemaaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaFarruh AtamurotovTashkent State Technical University, Tashkent 100095, UzbekistanAlisher AbdulvohidovAndijan State University, Universitet Str. 129, Andijan 170100, UzbekistanRana Muhammad ZulqarnainDepartment of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
2026en

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