dorsal/arxiv
View SchemaCommuting Charges of the Quantum Korteweg-deVries and Boussinesq Theories from the Reduction of W(infinity) and W(1+infinity) Algebras
| Authors | Andrew J. Bordner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9711013 |
| URL | https://arxiv.org/abs/solv-int/9711013 |
| DOI | 10.1142/S0217732398000607 |
| Journal | Mod. Phys. Lett. A 13, (1998) 541. |
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(infinity) algebra. These charges exist for all spins $s \geq 2$. Likewise, reductions of the W(infinity/2) and W((1+infinity)/2) algebras yield the commuting quantum charges for the quantum KdV equation at c=-2 and c=1/2, respectively.
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"abstract": "Integrability of the quantum Boussinesq equation for c=-2 is demonstrated by\ngiving a recursive algorithm for generating explicit expressions for the\ninfinite number of commuting charges based on a reduction of the W(infinity)\nalgebra. These charges exist for all spins $s \\geq 2$. Likewise, reductions of\nthe W(infinity/2) and W((1+infinity)/2) algebras yield the commuting quantum\ncharges for the quantum KdV equation at c=-2 and c=1/2, respectively.",
"arxiv_id": "solv-int/9711013",
"authors": [
"Andrew J. Bordner"
],
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"solv-int",
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"doi": "10.1142/S0217732398000607",
"journal_ref": "Mod. Phys. Lett. A 13, (1998) 541.",
"title": "Commuting Charges of the Quantum Korteweg-deVries and Boussinesq Theories from the Reduction of W(infinity) and W(1+infinity) Algebras",
"url": "https://arxiv.org/abs/solv-int/9711013"
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