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Homological methods in equations of mathematical physics / Joseph Krasil'shchik, Alexander Verbovetsky
| Homological methods in equations of mathematical physics / Joseph Krasil'shchik, Alexander Verbovetsky |
| Autore | Krasil'shchik, Iosif Semenovich |
| Pubbl/distr/stampa | Opava, Czech Republic : Open Education & Sciences, c1998 |
| Descrizione fisica | 150 p. : ill. ; 26 cm |
| Disciplina | 530.15423 |
| Altri autori (Persone) | Verbovetsky, Alexanderauthor |
| Collana | Advanced texts in mathematics |
| Soggetto topico |
Homology theory
Mathematical physics |
| ISBN | 8090197442 |
| Classificazione |
AMS 35Q
LC QC20.7.H65 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003187839707536 |
Krasil'shchik, Iosif Semenovich
|
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| Opava, Czech Republic : Open Education & Sciences, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The symbolic computation of integrability structures for partial differential equations / Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo
| The symbolic computation of integrability structures for partial differential equations / Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo |
| Autore | Krasilʹshchik, Iosif Semenovich |
| Descrizione fisica | xv, 263 p. ; 24 cm |
| Disciplina | 515.353 |
| Altri autori (Persone) |
Verbovetsky, Alexanderauthor
Vitolo, Raffaeleauthor |
| Collana | Texts and monographs in symbolic computation |
| Soggetto topico |
Computer Science
Differential equations, Partial Logic, Symbolic and mathematical Geometry, Differential |
| ISBN | 9783319716541 |
| Classificazione |
AMS 68-02
AMS 35A30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro; Preface; Contents; Introduction; 1 Computational Problems and Dedicated Software; 1.1 Computational Problems in the Geometry of PDEs and Integrability; 1.2 Reduce Software for the Geometry of PDEs and Integrability; 1.3 Other Software for the Geometry of PDEs and Integrability; 2 Internal Coordinates and Total Derivatives; 2.1 General Theory; 2.1.1 C-Differential Operators; 2.1.2 The Linearization Operator and Its Adjoint; 2.2 CDE Implementation; 2.2.1 CDE Jet Space; 2.2.2 CDE and Differential Equations; 2.2.3 CDE and C-Differential Operators; 2.3 Examples
2.3.1 Korteweg-de Vries Equation2.3.2 Dispersionless Boussinesq System; 2.3.3 Camassa-Holm Equation; 2.3.4 Multi-dimensional Examples; 2.3.4.1 Kadomtsev-Petviashvili Equation; 2.3.4.2 Plebanski Equation; 3 Conservation Laws and Nonlocal Variables; 3.1 General Theory; 3.1.1 Conservation Laws; 3.1.2 Nonlocal Variables; 3.2 Examples; 3.2.1 Korteweg-de Vries Equation; 3.2.2 Dispersionless Boussinesq System; 3.2.3 Camassa-Holm Equation; 3.2.4 Gibbons-Tsarev Equation; 3.2.5 Multi-dimensional Examples; 3.2.5.1 Universal Hierarchy Equation; 3.2.5.2 Khokhlov-Zabolotskaya Equation; 4 Cosymmetries 4.1 General Theory4.1.1 Generating Functions of Conservation Laws; 4.1.2 Reconstruction of Conservation Laws by Their Generating Functions; 4.2 Examples; 4.2.1 Korteweg-de Vries Equation; 4.2.2 Dispersionless Boussinesq System; 4.2.3 Camassa-Holm Equation; 4.2.4 Gibbons-Tsarev Equation; 4.2.5 Multi-dimensional Examples; 4.2.5.1 Universal hierarchy Equation; 4.2.5.2 Khokhlov-Zabolotskaya Equation; 5 Symmetries; 5.1 General Theory; 5.1.1 Local Symmetries; 5.1.2 Jacobi Bracket; 5.1.3 Reductions and Invariant Solutions; 5.1.4 Nonlocal Symmetries and Shadows; 5.2 Examples 5.2.1 Korteweg-de Vries Equation5.2.2 Burgers Equation; 5.2.3 Dispersionless Boussinesq System; 5.2.4 Camassa-Holm Equation; 5.2.5 Multi-dimensional Examples; 5.2.5.1 Universal Hierarchy Equation; 5.2.5.2 Pavlov Equation; 6 The Tangent Covering; 6.1 General Theory; 6.2 Examples; 6.2.1 Korteweg-de Vries Equation; 6.2.2 Dispersionless Boussinesq System; 6.2.3 Camassa-Holm Equation; 6.2.4 Multi-dimensional Examples; 6.2.4.1 The Kadomtsev-Petviashvili Equation; 6.2.4.2 The Plebanski Equation; 7 Recursion Operators for Symmetries; 7.1 General Theory; 7.1.1 Variational Nijenhuis Bracket 7.1.2 Hereditary Operators7.1.3 Recursion Operators as Bäcklund Transformations; 7.2 Examples; 7.2.1 Korteweg-de Vries Equation; 7.2.2 Dispersionless Boussinesq System; 7.2.3 Camassa-Holm Equation; 7.2.4 Heat Equation; 7.2.5 Multi-dimensional Examples; 7.2.5.1 The Plebanski Equation; 7.2.5.2 The rdDym Equation; 7.2.5.3 The Pavlov Equation; 7.2.5.4 The Universal Hierarchy Equation; 8 Variational Symplectic Structures; 8.1 General Theory; 8.2 Examples; 8.2.1 The Two-Dimensional WDVV Equation; 8.2.2 The Krichever-Novikov Equation; 8.2.3 Korteweg-de Vries Equation |
| Record Nr. | UNISALENTO-991003589739707536 |
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Krasilʹshchik, Iosif Semenovich
|
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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