Numerical solution of the Cauchy problem for the Painlevé I and II equations-Reference-Cited by-同舟云学术

Numerical solution of the Cauchy problem for the Painlevé I and II equations

Published:2012-03 Issue:3 Volume:52 Page:321-329
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Abramov A. A.,Yukhno L. F.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542512030025.pdf

Reference4 articles.

1. A. S. Fokas, A. R. Its, A. A. Kapaev, and V. Yu. Novokshenov, Painlevé Transcendents: The Riemann-Hilbert Approach (RKhD, Izhevsk, 2005; Am. Math. Soc., Providence, 2006).

2. N. P. Erugin, “Theory of Moving Singular Points of Second Order Equations I,” Differ. Uravn. 12, 387–416 (1976).

3. N. P. Erugin, “Theory of Moving Singular Points of Second Order Equations II,” Differ. Uravn. 12, 579–598 (1976).

4. N. A. Lukashevich and V. N. Orlov, “Investigation of Approximate Solutions of the Second Painlevé Equation,” Differ. Uravn. 25, 1829–1832 (1989).

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