### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2005 |

### Publication series

Name | TW-Memorandum |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1752 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-35Q53
- MSC-37K05
- METIS-227112
- EWI-3572
- IR-65936

### Cite this

*The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators*. (TW-Memorandum; No. 1752). Enschede: University of Twente, Department of Applied Mathematics.

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*The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators*. TW-Memorandum, no. 1752, University of Twente, Department of Applied Mathematics, Enschede.

**The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators.** / Verbovetsky, A.V.; Verbovetsky, A.; Kersten, P.H.M.; Krasil'shchik, I.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators

AU - Verbovetsky, A.V.

AU - Verbovetsky, A.

AU - Kersten, P.H.M.

AU - Krasil'shchik, I.

N1 - Imported from MEMORANDA

PY - 2005

Y1 - 2005

N2 - Using new methods of analysis of integrable systems,based on a general geometric approach to nonlinear PDE,we discuss the Dispersionless Boussinesq Equation, which is equivalent to the Benney-Lax equation,being a system of equations of hydrodynamical type. The results include: a description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws. Highly interesting are the appearences of the Noether and Inverse Noether operators ,leading to multiple infinite hierarchies of these operators as well as recursion operators.

AB - Using new methods of analysis of integrable systems,based on a general geometric approach to nonlinear PDE,we discuss the Dispersionless Boussinesq Equation, which is equivalent to the Benney-Lax equation,being a system of equations of hydrodynamical type. The results include: a description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws. Highly interesting are the appearences of the Noether and Inverse Noether operators ,leading to multiple infinite hierarchies of these operators as well as recursion operators.

KW - MSC-35Q53

KW - MSC-37K05

KW - METIS-227112

KW - EWI-3572

KW - IR-65936

M3 - Report

SN - 0169-2690

T3 - TW-Memorandum

BT - The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -