- 非线性系统及其绝妙的数学结构(第1卷英文)/国外优秀数学著作原版系列
- - 作者：编者:(墨)诺伯特·欧拉|责编:张嘉芮//李兰静
  - 出版社：哈尔滨工业大学
  - ISBN：9787576712834
  - 出版日期：2024/10/01
  - 页数：587
- 售价：35.2

内容大纲
本书的目的是提供一种对非线性系统数学描述的全面的叙述状态的艺术，共包含了20个由非线性系统的不同方面的权威专家写的受邀文章，包括了常微分方程与偏微分方程、微分方程和q微分方程、离散或晶格方程、非交互方程与矩阵方程、随机方程与超对称方程。本书内容被分成A、B、C、D四个主要部分：A部分为可积系统；B部分为解决方案与解决结构；C部分为非线性系统的对称方法；D部分为应用中的非线性系统。本书适合对非线性系统感兴趣的人员参考阅读。
作者介绍
目录
Preface
The Authors
A1.Systems of nonlinearly-coupled differential equations solvable by algebraic operations
  F Calogero
  1.Introduction
  2.The main idea and some key identities
  3.Two examples of systems of nonlinearly-coupled ODEs solvable by algebraic operations
  4.A differential algorithm to evaluate all the zeros of a generic polynomial of arbitrary degree
  5.Extensions
A2.Integrable nonlinear PDEs on the half-line
  A S Fokas and B Pelloni
  1.Introduction
  2.Transforms and Riemann-Hilbert problems
  3.The structure of integrable PDEs：Lax pair formulation
  4.An integral transform for nonlinear boundary value problems
  5.Further considerations
A3.Detecting discrete integrability：the singularity approach
  B Grammaticos，A Ramani，R Willox and T Mase
  1.Introduction
  2.Singularity confinement
  3.The full-deautonomisation approach
  4.Halburd's exact calculation of the degree growth
  5.Singularities and spaces of initial conditions
A4.Elementary introduction to discrete soliton equations
  J Hietarinta
  1.Introduction
  2.Basic set-up for lattice equations
  3.Symmetries and hierarchies
  4.Lax pairs
  5.Continuum limits
  6.Discretizing a continuous equation
  7.Integrability test
  8.Summary
A5.New results on integrability of the Kahan-Hirota-Kimura  discretizations
  Yu B Suris and M Petrera
  1.Introduction
  2.General properties of the Kahan-Hirota-Kimura discretization
  3.Novel observations and results
  4.The general Clebsch flow
  5.The first Clebsch flow
  6.The Kirchhoff case
  7.Lagrange top
  8.Concluding remarks
B1.Dynamical systems and isospectral matrices defined in terms of the zeros of orthogonal or otherwise special polynomial
  O Bihun
  1.Introduction
  2.Zeros of generalized hypergeometric polynomial with two parameters and zeros of Jacobi polynomials
  3.Zeros of generalized hypergeometric polynomials
  4.Zeros of generalized basic hypergeometric polynomials
  5.Zeros of Wilson and Racah polynomials

  6.Zeros of Askey-Wilson and q-Racah polynomials
……

内容大纲

作者介绍

目录

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