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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2310.14082 |
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| _version_ | 1866916729854099456 |
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| author | Mhadhbi, Noureddine Gana, Sameh Alsaeedi, Mazen Fawaz |
| author_facet | Mhadhbi, Noureddine Gana, Sameh Alsaeedi, Mazen Fawaz |
| contents | This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to derive novel classes of solutions to nonlinear partial differential equations (NLPDES) by considering specific initial conditions. This innovative approach offers the advantage of generating exact solutions. The results underscore this method's potential to address additional NLPDE classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14082 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches Mhadhbi, Noureddine Gana, Sameh Alsaeedi, Mazen Fawaz Analysis of PDEs This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to derive novel classes of solutions to nonlinear partial differential equations (NLPDES) by considering specific initial conditions. This innovative approach offers the advantage of generating exact solutions. The results underscore this method's potential to address additional NLPDE classes. |
| title | Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.14082 |