Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions."
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914699291918336 |
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| author | Cherniha, Roman |
| author_facet | Cherniha, Roman |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions." Cherniha, Roman Mathematical Physics Exactly Solvable and Integrable Systems 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. |
| title | Comments on the paper "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions." |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2403.00837 |