| Autor: |
Kudryashov, Nikolai A., Sinelshchikov, Dmitry I. |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Kudryashov, Nikolay A., and Dmitry I. Sinelshchikov. "On the criteria for integrability of the Li\'enard equation." Applied Mathematics Letters 57 (2016): 114-120 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.aml.2016.01.012 |
| Popis: |
The Li\'{e}nard equation is of a high importance from both mathematical and physical points of view. However a question about integrability of this equation has not been completely answered yet. Here we provide a new criterion for integrability of the Li\'{e}nard equation using an approach based on nonlocal transformations. We also obtain some of previously known criteria for integrability of the Li\'{e}nard equation as a straightforward consequences of our approach's application. We illustrate our results by several new examples of integrable Li\'{e}nard equations. |
| Databáze: |
arXiv |
| Externí odkaz: |
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