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arXiv · 2403.00837

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

Roman Cherniha
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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.

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Roman Cherniha. 2024-02-29. Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions.". https://doi.org/10.1108/hff-03-2024-941

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