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The current work employs a Hamiltonian equation to develop a variety of Painlev\'{e} integrable equations. For each equation under consideration, numerous additional significant physical solutions are constructed.
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This page is a summary of: A Hamiltonian equation produces a variety of Painlevé integrable equations: solutions of distinct physical structures, International Journal of Numerical Methods for Heat & Fluid Flow, January 2024, Emerald,
DOI: 10.1108/hff-12-2023-0727.
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