Zeros of Polynomials and Solvable Nonlinear Evolution Equations

ISBN-13: 9781108428590 / Angielski / Twarda / 2018 / 176 str.

Francesco Calogero

Opis

Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ODEs or PDEs.

Recenzje

'The monograph is self-contained and accessible to a wide range of readers. In particular, those interested in the use of transformation techniques, in the study of integrable systems, will find this book especially valuable and useful.' D. Catalano Ferraioli, MathSciNet

Spis treści

Preface; 1. Introduction; 2. Parameter-dependent monic polynomials, definitions and key formulas; 3. A differential algorithm to compute all the zeros of a generic polynomial; 4. Solvable and integrable nonlinear dynamical systems (mainly Newtonian N-body problems in the plane); 5. Solvable systems of nonlinear partial differential equations (PDEs); 6. Generations of monic polynomials; 7. Discrete time; 8. Outlook; Appendix; References.