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Continuous Symmetries and Integrability of Discrete Equations (CRM Monograph Series) - Hardcover

Decio Levi (author)|Pavel Winternitz (author)|Ravil I. Yamilov (author)

 
9780821843543: Continuous Symmetries and Integrability of Discrete Equations (CRM Monograph Series)
Hardcover
ISBN 10: 0821843540 ISBN 13: 9780821843543
Publisher: American Mathematical Society, 2023

Synopsis

This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries.

The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3.

This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.

"synopsis" may belong to another edition of this title.

About the Author

Decio Levi, Roma Tre University, Rome, Italy, and INFN, Roma Tre Section, Rome, Italy.

Pavel Winternitz, Universite de Montreal, QC, Canada.

Ravil I. Yamilov, UFA Federal Research Center of the Russian Academy of Science, Russia.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2023
Language
English
ISBN 10 
0821843540
ISBN 13 
9780821843543
Binding
Hardcover
Number of pages
496