### Abstract

Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W_{∞}-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W_{∞/2-} and W_{(1=∞)/2}-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

Original language | English (US) |
---|---|

Pages (from-to) | 541-552 |

Number of pages | 12 |

Journal | Modern Physics Letters A |

Volume | 13 |

Issue number | 7 |

State | Published - Mar 7 1998 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

### Cite this

_{∞}and W

_{1+∞}algebras.

*Modern Physics Letters A*,

*13*(7), 541-552.

**Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W _{∞} and W_{1+∞} algebras.** / Bordner, Andrew J.

Research output: Contribution to journal › Article

_{∞}and W

_{1+∞}algebras',

*Modern Physics Letters A*, vol. 13, no. 7, pp. 541-552.

_{∞}and W

_{1+∞}algebras. Modern Physics Letters A. 1998 Mar 7;13(7):541-552.

}

TY - JOUR

T1 - Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W∞ and W1+∞ algebras

AU - Bordner, Andrew J.

PY - 1998/3/7

Y1 - 1998/3/7

N2 - Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2- and W(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

AB - Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2- and W(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

UR - http://www.scopus.com/inward/record.url?scp=0347178518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347178518&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0347178518

VL - 13

SP - 541

EP - 552

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 7

ER -