Soliton Equations And Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models
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Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models
Author | : Fritz Gesztesy,Helge Holden,Johanna Michor,Gerald Teschl |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780521753081 |
Download Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models Book in PDF, Epub and Kindle
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.
Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models
Author | : Fritz Gesztesy,Helge Holden,Johanna Michor,Gerald Teschl |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 0521753082 |
Download Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models Book in PDF, Epub and Kindle
As a partner to Volume 1: Dimensional Continuous Models, this book provides a self-contained introduction to solition equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices.
Soliton Equations and Their Algebro geometric Solutions
![Soliton Equations and Their Algebro geometric Solutions](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Fritz Gesztesy |
Publsiher | : Unknown |
Total Pages | : 438 |
Release | : 2008 |
Genre | : Differential equations, Nonlinear |
ISBN | : 0511429460 |
Download Soliton Equations and Their Algebro geometric Solutions Book in PDF, Epub and Kindle
Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.
Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models
Author | : Fritz Gesztesy,Helge Holden |
Publsiher | : Cambridge University Press |
Total Pages | : 518 |
Release | : 2003-06-05 |
Genre | : Mathematics |
ISBN | : 0521753074 |
Download Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models Book in PDF, Epub and Kindle
This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary and time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces).
Soliton Equations and Their Algebro geometric Solutions
![Soliton Equations and Their Algebro geometric Solutions](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Fritz Gesztesy |
Publsiher | : Unknown |
Total Pages | : 450 |
Release | : 2014-05-14 |
Genre | : Differential equations, Nonlinear |
ISBN | : 0511429843 |
Download Soliton Equations and Their Algebro geometric Solutions Book in PDF, Epub and Kindle
Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models
Author | : Fritz Gesztesy,Helge Holden,Johanna Michor,Gerald Teschl |
Publsiher | : Cambridge University Press |
Total Pages | : 438 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 9781139473774 |
Download Soliton Equations and Their Algebro Geometric Solutions Volume 2 1 1 Dimensional Discrete Models Book in PDF, Epub and Kindle
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.
Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models
Author | : Fritz Gesztesy,Helge Holden |
Publsiher | : Cambridge University Press |
Total Pages | : 518 |
Release | : 2003-06-05 |
Genre | : Mathematics |
ISBN | : 0521753074 |
Download Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models Book in PDF, Epub and Kindle
This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary and time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces).
Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models
![Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Fritz Gesztesy,Helge Holden |
Publsiher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2003-06-05 |
Genre | : Mathematics |
ISBN | : 0521753074 |
Download Soliton Equations and their Algebro Geometric Solutions Volume 1 1 1 Dimensional Continuous Models Book in PDF, Epub and Kindle
This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary and time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses techniques from the theory of differential equations, spectral analysis, and elements of algebraic geometry (most notably, the theory of compact Riemann surfaces).