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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
31/1997

WTC expansions and non-integrable equations

Satyanad Kichenassamy

Abstract

This paper presents a generalization, to non-integrable equations, of the ARS-WTC method for the generation of singular solutions of PDE and ODE. The argument rests on the reduction of the equation to a generalized nonlinear Fuchsian equation, and automatically ensures a representation of singularities by convergent expansions. Practical issues in the reduction process are emphasized. Finally, it is shown that a class of unstable characteristic singularities is related to the degeneration of non-characteristic singularities.

Received:
Oct 28, 1997
Published:
Oct 28, 1997

Related publications

inJournal
1999 Repository Open Access
Satyanad Kichenassamy

WTC expansions and nonintegrable equations

In: Studies in applied mathematics, 102 (1999) 1, pp. 1-26