Stokes parameters of the similarity reduction of the three-wave equation

A. Roy Chowdhury; Partha Guha

doi:10.1016/0375-9601(88)90945-0

Stokes parameters of the similarity reduction of the three-wave equation

A. Roy Chowdhury, Partha Guha

Mathematics

Jadavpur Univ.

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Monodromy data for a nonlinear ordinary differential equation obtained as the reduction of the three-wave equation are determined by a new technique due to Gurarii and Mateev. The regions of growth and decay of the solutions are determined and the corresponding Stokes parameters are obtained. Earlier it was observed that this equation is not a member of the six Painlevé equations but is concerned to the Painlevé VI equation via a complicated transformation.

Original language	British English
Pages (from-to)	115-120
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	134
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(88)90945-0
State	Published - 19 Dec 1988

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abstract = "Monodromy data for a nonlinear ordinary differential equation obtained as the reduction of the three-wave equation are determined by a new technique due to Gurarii and Mateev. The regions of growth and decay of the solutions are determined and the corresponding Stokes parameters are obtained. Earlier it was observed that this equation is not a member of the six Painlev{\'e} equations but is concerned to the Painlev{\'e} VI equation via a complicated transformation.",

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AU - Guha, Partha

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N2 - Monodromy data for a nonlinear ordinary differential equation obtained as the reduction of the three-wave equation are determined by a new technique due to Gurarii and Mateev. The regions of growth and decay of the solutions are determined and the corresponding Stokes parameters are obtained. Earlier it was observed that this equation is not a member of the six Painlevé equations but is concerned to the Painlevé VI equation via a complicated transformation.

AB - Monodromy data for a nonlinear ordinary differential equation obtained as the reduction of the three-wave equation are determined by a new technique due to Gurarii and Mateev. The regions of growth and decay of the solutions are determined and the corresponding Stokes parameters are obtained. Earlier it was observed that this equation is not a member of the six Painlevé equations but is concerned to the Painlevé VI equation via a complicated transformation.

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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Stokes parameters of the similarity reduction of the three-wave equation

Abstract

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