| Title | Poles of Integrale Tritronquee and Anharmonic Oscillators. Asymptotic localization from WKB analysis |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Masoero, D |
| Journal | Nonlinearity. vol. 23, (2010), page 2501-2507 |
| Abstract | Poles of integrale tritronquee are in bijection with cubic oscillators that admit the simultaneous solutions of two quantization conditions. We show that the poles lie near the solutions of a pair of Bohr-Sommerfeld quantization conditions (the Bohr-Sommerfeld-Boutroux system): the distance between a pole and the corresponding solution of the Bohr-Sommerfeld-Boutroux system vanishes asymptotically. |
| URL | http://hdl.handle.net/1963/3841 |
| DOI | 10.1088/0951-7715/23/10/008 |
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