Download the fantastic book titled Continuous Symmetries and Integrability of Discrete Equations written by Decio Levi, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Continuous Symmetries and Integrability of Discrete Equations", which was released on 23 January 2023. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Continuous Symmetries and Integrability of Discrete Equations by Decio Levi PDF
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.
Detail About Continuous Symmetries and Integrability of Discrete Equations PDF
- Author : Decio Levi
- Publisher : American Mathematical Society, Centre de Recherches Mathématiques
- Genre : Mathematics
- Total Pages : 520 pages
- ISBN : 0821843540
- Release Date : 23 January 2023
- PDF File Size : 34,8 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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