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We develop a new (3+1)-dimensional Painlev\'{e}-integrable extended Sakovich equation. We employ the simplified Hirota's method for deriving multiple soliton solutions. We find that the developed (3+1)-dimensional Sakovich model exhibits complete integrability in analogy with the standard Sakovich equation.
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This page is a summary of: A new (3 + 1)-dimensional Painlevé-integrable Sakovich equation: multiple soliton solutions, International Journal of Numerical Methods for Heat & Fluid Flow, January 2021, Emerald,
DOI: 10.1108/hff-11-2020-0687.
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