Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 1, February 2001, Pages 65 - 95

Hard Loss of Stability in Painlevé-2 Equation

Authors
O.M. Kiselev
Corresponding Author
O.M. Kiselev
Received 3 March 2000, Revised 14 March 2000, Accepted 28 October 2000, Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.1.8How to use a DOI?
Abstract

A special asymptotic solution of the Painlevé-2 equation with small parameter is stdied. This solution has a critical point t corresponding to a bifurcation phenomenon. When t < t the constructed solution varies slowly and when t > t the solution oscillates very fast. We investigate the transitional layer in detail and obtain a smooth asymptotic solution, using a sequence of scaling and matching procedures.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 1
Pages
65 - 95
Publication Date
2001/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.1.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - O.M. Kiselev
PY  - 2001
DA  - 2001/02/01
TI  - Hard Loss of Stability in Painlevé-2 Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 65
EP  - 95
VL  - 8
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.1.8
DO  - 10.2991/jnmp.2001.8.1.8
ID  - Kiselev2001
ER  -