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- W3110798715 abstract "For the fifth Painlevé transcendents, an asymptotic representation by the Jacobi sn-function is presented in cheese-like strips along generic directions near the point at infinity. Its elliptic main part depends on a single integration constant, which is the phase shift and is parametrized by monodromy data for the associated isomonodromy deformation. In addition, under a certain supposition, the error term is also expressed by an explicit asymptotic formula, whose leading term is written in terms of integrals of the sn-function and the ϑ-function, and contains the other integration constant. Instead of the justification scheme for asymptotic solutions of Riemann-Hilbert problems by the Brouwer fixed point theorem, we begin with a boundedness property of a Lagrangian function, which enables us to determine the modulus of the sn-function satisfying the Boutroux equations and to construct deductively the elliptic representation." @default.
- W3110798715 created "2020-12-21" @default.
- W3110798715 creator A5033165413 @default.
- W3110798715 date "2022-01-01" @default.
- W3110798715 modified "2023-09-26" @default.
- W3110798715 title "ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS" @default.
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- W3110798715 doi "https://doi.org/10.2206/kyushujm.76.43" @default.
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