A generalization of determinant formulae for the solutions of painlevé II and XXXIV equations

Kenji Kajiwara; Tetsu Masuda

doi:10.1088/0305-4470/32/20/309

A generalization of determinant formulae for the solutions of painlevé II and XXXIV equations

Kenji Kajiwara, Tetsu Masuda

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

20 Citations (Scopus)

Abstract

A generalization of determinant formulae for the classical solutions of Painlevé XXXIV and Painlevé II equations are constructed using the technique of Darboux transformation and Hirota's bilinear formalism. It is shown that the solutions admit determinant formulae even for the transcendental case.

Original language	English
Pages (from-to)	3763-3778
Number of pages	16
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	20
DOIs	https://doi.org/10.1088/0305-4470/32/20/309
Publication status	Published - May 21 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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abstract = "A generalization of determinant formulae for the classical solutions of Painlev{\'e} XXXIV and Painlev{\'e} II equations are constructed using the technique of Darboux transformation and Hirota's bilinear formalism. It is shown that the solutions admit determinant formulae even for the transcendental case.",

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year = "1999",

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A generalization of determinant formulae for the solutions of painlevé II and XXXIV equations

Abstract

All Science Journal Classification (ASJC) codes

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