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...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính: Calogero, Francesco, 1955- (Tác giả)
Định dạng: Licensed eBooks
Ngôn ngữ:Tiếng Anh
Được phát hành: Cambridge : Cambridge University Press, 2018.
Truy cập trực tuyến:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1813270
Mục lục:
  • 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.