Zeros Of Polynomials And Solvable Nonlinear Evolution Equations
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Zeros of Polynomials and Solvable Nonlinear Evolution Equations
Author: Francesco Calogero
language: en
Publisher: Cambridge University Press
Release Date: 2018-09-20
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
Author: Francesco Calogero
language: en
Publisher: Cambridge University Press
Release Date: 2018-09-20
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.
Integrable Systems and Algebraic Geometry
Author: Ron Donagi
language: en
Publisher: Cambridge University Press
Release Date: 2020-04-02
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.