Zeros of Polynomials and Solvable Nonlinear Evolution Equations
«'This concise book discusses the mathematical tools used to model complex phenomena via systems of nonlinear equations, which can be useful to describe many-body problems. Starting from a well-established approach to solvable dynamical systems identification, the author proposes a novel algorithm that allows some of the restrictions of this approach to be eliminated and, thus, identifies more solvable/integrable N-body problems. … the book presents many examples to show its application and impact. … [It] is addressed to both applied mathematicians and theoretical physicists, and can be used as a basic text for a topical course for advanced undergraduates.' Virginia Greco, CERN Courier»
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. Les mer
Detaljer
- Forlag
- Cambridge University Press
- Innbinding
- Innbundet
- Språk
- Engelsk
- ISBN
- 9781108428590
- Utgivelsesår
- 2018
- Format
- 25 x 18 cm
Anmeldelser
«'This concise book discusses the mathematical tools used to model complex phenomena via systems of nonlinear equations, which can be useful to describe many-body problems. Starting from a well-established approach to solvable dynamical systems identification, the author proposes a novel algorithm that allows some of the restrictions of this approach to be eliminated and, thus, identifies more solvable/integrable N-body problems. … the book presents many examples to show its application and impact. … [It] is addressed to both applied mathematicians and theoretical physicists, and can be used as a basic text for a topical course for advanced undergraduates.' Virginia Greco, CERN Courier»
«'The monograph is self-contained and accessible to a wide range of readers. In particular, those interested in the use of transformation techniques, in the study of integrable systems, will find this book especially valuable and useful.' D. Catalano Ferraioli, MathSciNet»