A generalization of determinant formulas for the solutions of Painlevé II and XXXIV equations

Details A generalization of determinant formulas for the solutions of Painlevé II and XXXIV equations A generalization of determinant formulas for the solutions of Painlevé II and XXXIV equations

1999-03-24

arxiv.org/abs/solv-int/9903014v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, LaTeX 2.09(IOP style), submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/32/20/309

A generalization of determinant formulas 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 formulas even for the transcendental
case.

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