Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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