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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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2018
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- 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