Zeros of polynomials and solvable nonlinear evolution equations /

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. Be...

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Détails bibliographiques
Auteur principal: Calogero, Francesco, 1955- (Auteur)
Format: Licensed eBooks
Langue:anglais
Publié: Cambridge : Cambridge University Press, 2018.
Accès en ligne:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1813270
Table des matières:
  • 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.