抄録
We show that, under certain conditions, some difference Painlevé equations have nontrivial meromorphic solutions in the whole complex plane. These meromorphic solutions are obtained by analytic continuation of asymptotic solutions given in sectors of zero opening angle. The existence of these asymptotic solutions is shown by using fundamental matrix solutions of the associated linear systems with double unit characteristic roots and with coefficients expressed by asymptotic series in fractional powers.
本文言語 | English |
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論文番号 | 315213 |
ジャーナル | Journal of Physics A: Mathematical and Theoretical |
巻 | 42 |
号 | 31 |
DOI | |
出版ステータス | Published - 2009 11月 20 |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 統計学および確率
- モデリングとシミュレーション
- 数理物理学
- 物理学および天文学(全般)