论文标题

退化painlevéIII方程的解决方案的跨系列渐近学:案例研究

Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study

论文作者

Vartanian, A.

论文摘要

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还获得了DP3的。 DP3E的Lie-Point对称性的动作是得出的。

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.

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