Discrete Systems and Integrability

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Sprache: Englisch

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Beschreibung

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

Über den Autor

J. Hietarinta is Professor Emeritus of Theoretical Physics at the University of Turku, Finland. His work has focused on the search for integrable systems of various forms, including Hamiltonian mechanics, Hirota bilinear form, Yang-Baxter and tetrahedron equations, as well as lattice equations. He was instrumental in the setting up of the [...] category in [...] and created the web pages for the SIDE (Symmetries and Integrability of Difference Equations) conference series [...]

Inhaltsverzeichnis

Preface; 1. Introduction to difference equations; 2. Discrete equations from transformations of continuous equations; 3. Integrability of PEs; 4. Interlude: lattice equations and numerical algorithms; 5. Continuum limits of lattice PEs; 6. One-dimensional lattices and maps; 7. Identifying integrable difference equations; 8. Hirota's bilinear method; 9. Multi-soliton solutions and the Cauchy matrix scheme; 10. Similarity reductions of integrable PEs; 11. Discrete Painlevé equations; 12. Lagrangian multiform theory; Appendix A. Elementary difference calculus and difference equations; Appendix B. Theta functions and elliptic functions; Appendix C. The continuous Painlevé equations and the Garnier system; Appendix D. Some determinantal identities; References; Index.

Erscheinungsjahr:	2016
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9781107669482
ISBN-10:	1107669480
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Hietarinta, J. Joshi, N. Nijhoff, F. W.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	244 x 170 x 25 mm
Von/Mit:	J. Hietarinta (u. a.)
Erscheinungsdatum:	01.09.2016
Gewicht:	0,788 kg