Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913235059343360 |
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| author | Kiprono, Kelvin Tóth, János |
| author_facet | Kiprono, Kelvin Tóth, János |
| contents | The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equations based on the Cauchy--Riemann equations. It turns out that the method can be used to symbolically solve some polynomial differential equations that are not necessarily kinetic, as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations Kiprono, Kelvin Tóth, János Mathematical Physics Classical Analysis and ODEs 34A05, 80A30, 34A34, 92C45 The differential equations of chemical kinetics are systems of nonlinear (polynomial) differential equations, therefore their solutions cannot usually be found in symbolic form. Here we offer a method to solve classes of kinetic differential equations based on the Cauchy--Riemann equations. It turns out that the method can be used to symbolically solve some polynomial differential equations that are not necessarily kinetic, as well. |
| title | Symbolic Solution of Systems of Polynomial Differential Equations Via The Cauchy-Riemann Equations. Applications to Kinetic Differential Equations |
| topic | Mathematical Physics Classical Analysis and ODEs 34A05, 80A30, 34A34, 92C45 |
| url | https://arxiv.org/abs/2402.09842 |