Soliton Equations and Their Algebro-Geometric Solutions Vol. 1(1+1)-Dimensional Continuous Models |
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| Author:
| Gesztesy, Fritz
Holden, Helge |
| Series title: | Cambridge Studies in Advanced Mathematics Ser. |
| ISBN: | 978-0-511-54672-3 |
| Publication Date: | Dec 2009 |
| Publisher: | Cambridge University Press
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $165.00 |
Book Description:
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The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.
The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.