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Comments on the paper 'Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions.'
- Source :
- International Journal of Numerical Methods for Heat & Fluid Flow Vol. 34 No. 3, 2024 pp. 1149-1150
- Publication Year :
- 2024
-
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.<br />Comment: Comment on doi:10.1108/HFF-12-2021-0786
- Subjects :
- Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Subjects
Details
- Database :
- arXiv
- Journal :
- International Journal of Numerical Methods for Heat & Fluid Flow Vol. 34 No. 3, 2024 pp. 1149-1150
- Publication Type :
- Report
- Accession number :
- edsarx.2403.00837
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1108/HFF-03-2024-941