Symmetries and recursion operators for c
β I.S. Krasil'shchik, P.H. Kersten
π Library
π
2010
π Springer
π English
β¦ LIBER β¦
π
Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
β Scribed by I.S. Krasil'shchik, P.H. Kersten
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Leaves
- 397
- Series
- Mathematics and Its Applications
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This book is a detailed exposition of algebraic and geometrical aspects related to the theory of symmetries and recursion operators for nonlinear partial differential equations (PDE), both in classical and in super, or graded, versions. It contains an original theory of FrΓΆlicher-Nijenhuis brackets which is the basis for a special cohomological theory naturally related to the equation structure. This theory gives rise to infinitesimal deformations of PDE, recursion operators being a particular case of such deformations. Efficient computational formulas for constructing recursion operators are deduced and, in combination with the theory of coverings, lead to practical algorithms of computations. Using these techniques, previously unknown recursion operators (together with the corresponding infinite series of symmetries) are constructed. In particular, complete integrability of some superequations of mathematical physics (Korteweg-de Vries, nonlinear SchrΓΆdinger equations, etc.) is proved. Audience: The book will be of interest to mathematicians and physicists specializing in geometry of differential equations, integrable systems and related topics.
π SIMILAR VOLUMES
Symmetry and Integration Methods for Dif
β George W. Bluman and Stephen C. Anco
π Library
π
2002
π Springer New York
π English
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, c
Symmetry and Integration Methods for Dif
β George W. Bluman, Stephen C. Anco
π Library
π
2002
π Springer
π English
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, c
Symmetry and integration methods for dif
β Bluman G.W., Anco S.C.
π Library
π
2002
π Springer
π English
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, c
Symmetry and Integration Methods for Dif
β George W. Bluman, Stephen C. Anco (auth.)
π Library
π
2002
π Springer
π English
<p>This book is a significant update of the first four chapters of Symmetries and Differential Equations (1989; reprinted with corrections, 1996), by George W. Bluman and Sukeyuki Kumei. Since 1989 there have been considerable developments in symmetry methods (group methods) for differential equatio
Symmetry and integration methods for dif
β George W. Bluman, Stephen C. Anco
π Library
π
2002
π Springer
π English