Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908488252260352 |
|---|---|
| author | Vartanian, A. |
| author_facet | Vartanian, A. |
| contents | A one-parameter family of trans-series asymptotics of solutions to the Degenerate Painlevé III Equation (DP3E) are parametrised in terms of the monodromy data of an associated two-by-two linear auxiliary problem via the isomonodromy deformation approach: trans-series asymptotics for the associated Hamiltonian and principal auxiliary functions and the solution of one of the sigma-forms of the DP3E are also obtained. The actions of Lie-point symmetries for the DP3E are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_11235 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study Vartanian, A. Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 33E17, 34M35, 34M40, 34M50, 34M55, 34M56, 34M60 A one-parameter family of trans-series asymptotics of solutions to the Degenerate Painlevé III Equation (DP3E) are parametrised in terms of the monodromy data of an associated two-by-two linear auxiliary problem via the isomonodromy deformation approach: trans-series asymptotics for the associated Hamiltonian and principal auxiliary functions and the solution of one of the sigma-forms of the DP3E are also obtained. The actions of Lie-point symmetries for the DP3E are derived. |
| title | Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study |
| topic | Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 33E17, 34M35, 34M40, 34M50, 34M55, 34M56, 34M60 |
| url | https://arxiv.org/abs/2010.11235 |