Painleve Equations Through Symmetry

Erscheinungsjahr 2004
ISBN: 978-0-8218-3221-9
Verlag: American Mathematical Society

Buch, Englisch, Band 223

Reihe: Translations of Mathematical Monographs

This book is a gentle introduction to the subject of Painlev equations. It is intended to serve as an introduction to the subject for readers with basic familiarity with calculus, linear algebra, and group theory, which means it is well suited for an undergraduate course. The focus is extremely narr

'The Painleve equations themselves are really a wonder. They still continue to give us fresh mysteries.One reason that I wrote this book is to tell you how impressed I am by the mysteries of the Painleve equations.' --from the Preface The six Painlev

What is a Backlund transformation?; The symmetric form; $tau$-functions; $tau$-functions on the lattice; Jacobi-Trudi formula; Getting familiar with determinants; Gauss decomposition and birational transformations; Lax formalism; Appendix; Bibliography; Index

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen