# Continuous symmetries and integrability of discrete equations / Decio Levi, Pavel Winternitz, Ravil I. Yamilov.

##### By: Levi, D. (Decio) [author.].

##### Contributor(s): Winternitz, Pavel [author.] | Yamilov, Ravil I [author.].

Material type: TextSeries: CRM monograph series / Centre de Recherches Mathématiques, Montréal, volume 38.Publisher: Providence, Rhode Island : American Mathematical Society, [2022]Description: xxi, 494 pages : USD 125.00 illustrations ; 26 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821843543.Subject(s): Differential equations | Symmetry (Mathematics) | Integral equations | Difference equations | Discrete mathematics | Ordinary differential equations | Partial differential equations | Partial differential equations -- Representations of solutions | Partial differential equations -- Spectral theory and eigenvalue problems | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems | Difference and functional equations | Difference and functional equations -- Difference equations | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras | Topological groups, Lie groups -- Lie groups -- Infinite-dimensional Lie groups and their Lie algebras: general properties | Ordinary differential equations -- Differential equations in the complex domain -- Painlevé and other special equations; classification, hierarchies | Ordinary differential equations -- Qualitative theory -- Symmetries, invariants | Ordinary differential equations -- Functional-differential and differential-difference equations -- Spectral theory of functional-differential operators | Ordinary differential equations -- Functional-differential and differential-difference equations -- Transformation and reduction of equations and systems, normal forms | Ordinary differential equations -- Ordinary differential operators -- Scattering theory, inverse scattering | Partial differential equations -- General topics -- Transform methods (e.g. integral transforms) | Partial differential equations -- Qualitative properties of solutions -- Symmetries, invariants, etc | Partial differential equations -- Equations of mathematical physics and other areas of application -- KdV-like equations (Korteweg-de Vries) | Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Completely integrable systems, topological structure of phase space, integratio | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Soliton theory, asymptotic behavior of solutions | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Integration of completely integrable systems by inverse spectral and scattering methods | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Relations with infinite-dimensional Lie algebras and other algebraic structures | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Lie-Bäcklund and other transformations | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Soliton theory, asymptotic behavior of solutions | Difference and functional equations -- Difference equations -- Linear equations | Difference and functional equations -- Difference equations -- Partial difference equationsDDC classification: 515/.38 Other classification: 34-XX | 35-XX | 35Cxx | 35Pxx | 37Kxx | 39-XX | 39Axx | 17B67 | 22E65 | 34M55 | 34C14 | 34K08 | 34K17 | 34L25 | 35A22 | 35B06 | 35Q53 | 37J35 | 37K40 | 37K10 | 37K15 | 37K30 | 37K35 | 37K40 | 39A06 | 39A14
Contents:

Integrability and symmetries of nonlinear differential and difference equations in two independent variables -- Symmetries as integrability criteria.

Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|

Book | Chennai Mathematical Institute General Stacks | 515.38 LEV (Browse shelf) | Available | 11129 |

Total holds: 0

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Includes bibliographical references and index.

Integrability and symmetries of nonlinear differential and difference equations in two independent variables -- Symmetries as integrability criteria.