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Soliton equations and Hamiltonian systems [[electronic resource] /] / L.A. Dickey
| Soliton equations and Hamiltonian systems [[electronic resource] /] / L.A. Dickey |
| Autore | Dickey Leonid A |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (421 p.) |
| Disciplina | 530.12/4 |
| Collana | Advanced series in mathematical physics |
| Soggetto topico |
Solitons
Hamiltonian systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93445-3
9786611934453 981-279-451-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Introduction to the First Edition ; Chapter 1 Integrable Systems Generated by Linear Differential nth Order Operators ; 1.1 Differential Algebra A ; 1.2 Space of Functionals A ; 1.3 Ring of Pseudodifferential Operators
1.4 Lax Pairs. GD Hierarchies of Equations 1.5 First Integrals (Constants of Motion) ; 1.6 Compatibility of the Equations of a Hierarchy ; 1.7 Soliton Solutions ; 1.8 Resolvent. Adler Mapping ; Chapter 2 Hamiltonian Structures ; 2.1 Finite-Dimensional Case ; 2.2 Hamilton Mapping 2.3 Variational Principles 2.4 Symplectic Form on an Orbit of the Coadjoint Representation of a Lie Group ; 2.5 Purely Algebraic Treatment of the Hamiltonian Structure ; 2.6 Examples ; Chapter 3 Hamiltonian Structure of the GD Hierarchies ; 3.1 Lie Algebra V Dual Space Q1 and Module Q0 3.2 Proof of Theorem 3.1.2 3.3 Poisson Bracket ; 3.4 Reduction to the Submanifold Un-1 = 0 ; 3.5 Variational Derivative of the Resolvent ; 3.6 Hamiltonians of the GD Hierarchies ; 3.7 Theory of the KdV-Hierarchy (n = 2) Independent of the General Case Chapter 4 Modified KdV and GD. The Kupershmidt-Wilson Theorem 4 1 Miura Transformation. The Kupershmidt-Wilson Theorem ; 4.2 Modified KdV Equation. Backlund Transformations ; 4.3 More on Modified GD Equations ; Chapter 5 The KP Hierarchy ; 5.1 Definition of the KP Hierarchy 5.2 Reduction of the KP Hierarchy to GD |
| Record Nr. | UNINA-9910454345503321 |
Dickey Leonid A
|
||
| River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soliton equations and Hamiltonian systems [[electronic resource] /] / L.A. Dickey
| Soliton equations and Hamiltonian systems [[electronic resource] /] / L.A. Dickey |
| Autore | Dickey Leonid A |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (421 p.) |
| Disciplina | 530.12/4 |
| Collana | Advanced series in mathematical physics |
| Soggetto topico |
Solitons
Hamiltonian systems |
| ISBN |
1-281-93445-3
9786611934453 981-279-451-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Introduction to the First Edition ; Chapter 1 Integrable Systems Generated by Linear Differential nth Order Operators ; 1.1 Differential Algebra A ; 1.2 Space of Functionals A ; 1.3 Ring of Pseudodifferential Operators
1.4 Lax Pairs. GD Hierarchies of Equations 1.5 First Integrals (Constants of Motion) ; 1.6 Compatibility of the Equations of a Hierarchy ; 1.7 Soliton Solutions ; 1.8 Resolvent. Adler Mapping ; Chapter 2 Hamiltonian Structures ; 2.1 Finite-Dimensional Case ; 2.2 Hamilton Mapping 2.3 Variational Principles 2.4 Symplectic Form on an Orbit of the Coadjoint Representation of a Lie Group ; 2.5 Purely Algebraic Treatment of the Hamiltonian Structure ; 2.6 Examples ; Chapter 3 Hamiltonian Structure of the GD Hierarchies ; 3.1 Lie Algebra V Dual Space Q1 and Module Q0 3.2 Proof of Theorem 3.1.2 3.3 Poisson Bracket ; 3.4 Reduction to the Submanifold Un-1 = 0 ; 3.5 Variational Derivative of the Resolvent ; 3.6 Hamiltonians of the GD Hierarchies ; 3.7 Theory of the KdV-Hierarchy (n = 2) Independent of the General Case Chapter 4 Modified KdV and GD. The Kupershmidt-Wilson Theorem 4 1 Miura Transformation. The Kupershmidt-Wilson Theorem ; 4.2 Modified KdV Equation. Backlund Transformations ; 4.3 More on Modified GD Equations ; Chapter 5 The KP Hierarchy ; 5.1 Definition of the KP Hierarchy 5.2 Reduction of the KP Hierarchy to GD |
| Record Nr. | UNINA-9910782287503321 |
|
Dickey Leonid A
|
||
| River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soliton equations and Hamiltonian systems / / L.A. Dickey
| Soliton equations and Hamiltonian systems / / L.A. Dickey |
| Autore | Dickey Leonid A |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (421 p.) |
| Disciplina | 530.12/4 |
| Collana | Advanced series in mathematical physics |
| Soggetto topico |
Solitons
Hamiltonian systems |
| ISBN |
1-281-93445-3
9786611934453 981-279-451-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface to the Second Edition ; Introduction to the First Edition ; Chapter 1 Integrable Systems Generated by Linear Differential nth Order Operators ; 1.1 Differential Algebra A ; 1.2 Space of Functionals A ; 1.3 Ring of Pseudodifferential Operators
1.4 Lax Pairs. GD Hierarchies of Equations 1.5 First Integrals (Constants of Motion) ; 1.6 Compatibility of the Equations of a Hierarchy ; 1.7 Soliton Solutions ; 1.8 Resolvent. Adler Mapping ; Chapter 2 Hamiltonian Structures ; 2.1 Finite-Dimensional Case ; 2.2 Hamilton Mapping 2.3 Variational Principles 2.4 Symplectic Form on an Orbit of the Coadjoint Representation of a Lie Group ; 2.5 Purely Algebraic Treatment of the Hamiltonian Structure ; 2.6 Examples ; Chapter 3 Hamiltonian Structure of the GD Hierarchies ; 3.1 Lie Algebra V Dual Space Q1 and Module Q0 3.2 Proof of Theorem 3.1.2 3.3 Poisson Bracket ; 3.4 Reduction to the Submanifold Un-1 = 0 ; 3.5 Variational Derivative of the Resolvent ; 3.6 Hamiltonians of the GD Hierarchies ; 3.7 Theory of the KdV-Hierarchy (n = 2) Independent of the General Case Chapter 4 Modified KdV and GD. The Kupershmidt-Wilson Theorem 4 1 Miura Transformation. The Kupershmidt-Wilson Theorem ; 4.2 Modified KdV Equation. Backlund Transformations ; 4.3 More on Modified GD Equations ; Chapter 5 The KP Hierarchy ; 5.1 Definition of the KP Hierarchy 5.2 Reduction of the KP Hierarchy to GD |
| Record Nr. | UNINA-9910813735703321 |
|
Dickey Leonid A
|
||
| River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||