TY - GEN T1 - Zeros of polynomials and solvable nonlinear evolution equations A1 - Calogero, Francesco, 1955- LA - English PP - Cambridge PB - Cambridge University Press YR - 2018 UL - https://ebooks.jgu.edu.in/Record/ebsco_acadsubs_on1056176877 AB - 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. CN - QC20.7.E88 C268 2018 SN - 9781108553124 SN - 1108553125 SN - 9781108619080 SN - 1108619088 SN - 9781108428590 SN - 1108428592 KW - Evolution equations : Nonlinear. KW - Zero (The number) KW - Polynomials. KW - Differential equations : Partial. KW - Differential equations : Nonlinear. KW - Zéro (Le nombre) KW - Polynômes. KW - SCIENCE : Energy. KW - SCIENCE : Mechanics : General. KW - SCIENCE : Physics : General. KW - Polinomios KW - Differential equations, Nonlinear KW - Differential equations, Partial KW - Evolution equations, Nonlinear KW - Polynomials KW - Nullstelle KW - Polynom KW - Nichtlineare Evolutionsgleichung KW - Nichtlineare partielle Differentialgleichung ER -