Continuous Symmetries and Integrability of Discrete Equations (Hardcover)

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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	CRM Monograph Series
Release date:	April 2023
Authors:	Decio Levi • Pavel Winternitz • Ravil I. Yamilov
Dimensions:	254 x 178mm (L x W)
Format:	Hardcover
Pages:	496
ISBN-13:	978-0-8218-4354-3
Categories:	Books
LSN:	0-8218-4354-0
Barcode:	9780821843543

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!