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Mathematical Physics

Title: Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."

Abstract: The Comments are devoted to the paper 'Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions' (Int J Numer Methods Heat Fluid Flow. 2022;32:3072{3082), in which three new generalizations of the classical Boussinesq equation are suggested that were further investigated in several papers. Here it is shown that the equations derived in the above paper are not presented in their canonical forms. It turns out that all three equations can be essentially simplified by the standard technique widely used for linear and quasi-linear PDEs. As a result, it is proved that the equations suggested are not multidimensional generalizations of the Boussinesq equation.
Comments: Comment on doi:10.1108/HFF-12-2021-0786
Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)
Journal reference: International Journal of Numerical Methods for Heat & Fluid Flow Vol. 34 No. 3, 2024 pp. 1149-1150
DOI: 10.1108/HFF-03-2024-941
Cite as: arXiv:2403.00837 [math-ph]
  (or arXiv:2403.00837v1 [math-ph] for this version)

Submission history

From: Roman Cherniha [view email]
[v1] Thu, 29 Feb 2024 00:54:56 GMT (3kb)

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