Five Specific Cases of the Simple Equations Method (SEsM)
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917996139642880 |
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| author | Dimitrova, Zlatinka I. |
| author_facet | Dimitrova, Zlatinka I. |
| contents | We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method, F-Expansion method, Modified Simple Equation method, Trial Function Method, General Projective Riccati Equations Method and the First Integral Method are specific cases of SEsM. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Five Specific Cases of the Simple Equations Method (SEsM) Dimitrova, Zlatinka I. Exactly Solvable and Integrable Systems 35C05, 35C07 We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method, F-Expansion method, Modified Simple Equation method, Trial Function Method, General Projective Riccati Equations Method and the First Integral Method are specific cases of SEsM. |
| title | Five Specific Cases of the Simple Equations Method (SEsM) |
| topic | Exactly Solvable and Integrable Systems 35C05, 35C07 |
| url | https://arxiv.org/abs/2504.16660 |