عنوان

Zeros of polynomials and solvable nonlinear evolution equations /

1108553125

1108619088

9781108553124

9781108619080

1108428592

9781108428590

Zeros of polynomials and solvable nonlinear evolution equations /

[Book]

Francesco Calogero (Sapienza University of Rome, retired).

Cambridge :

Cambridge University Press,

2018.

1 online resource

Includes bibliographical references.

Introduction -- Parameter-dependent monic polynomials : definitions and key formulas -- A differential algorithm to compute all the zeros of a generic polynomial -- Solvable and integrable nonlinear dynamical systems (mainly Newtonian N-body problems in the plane) -- Solvable systems of nonlinear partial differential equations (PDEs) -- Generations of monic polynomials -- Discrete-time -- Outlook.

0

Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.

Zeros of polynomials and solvable nonlinear evolution equations.

9781108428590

Differential equations, Nonlinear.

Differential equations, Partial.

Evolution equations, Nonlinear.

Polynomials.

Zero (The number)

Differential equations, Nonlinear.

Differential equations, Partial.

Evolution equations, Nonlinear.

Polynomials.

SCIENCE-- Energy.

SCIENCE-- Mechanics-- General.

SCIENCE-- Physics-- General.

Zero (The number)

SCI-- 024000

SCI-- 041000

SCI-- 055000

Calogero, Francesco,1955-

20200822150932.0

pn

[Book]

Y