Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory
Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in par...
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Gespeichert in:
| Autor*in: |
Benkaddour, I. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Anmerkung: |
© Plenum Publishing Corporation 2002 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of theoretical physics - Kluwer Academic Publishers-Plenum Publishers, 1968, 41(2002), 12 vom: Dez., Seite 2339-2368 |
|---|---|
| Übergeordnetes Werk: |
volume:41 ; year:2002 ; number:12 ; month:12 ; pages:2339-2368 |
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| DOI / URN: |
10.1023/A:1021389901229 |
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| 520 | |a Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. | ||
| 700 | 1 | |a Hssaini, M. |4 aut | |
| 700 | 1 | |a Kessabi, M. |4 aut | |
| 700 | 1 | |a Maroufi, B. |4 aut | |
| 700 | 1 | |a Sedra, M. B. |4 aut | |
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10.1023/A:1021389901229 doi (DE-627)OLC2052354689 (DE-He213)A:1021389901229-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Benkaddour, I. verfasserin aut Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. Hssaini, M. aut Kessabi, M. aut Maroufi, B. aut Sedra, M. B. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 41(2002), 12 vom: Dez., Seite 2339-2368 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:41 year:2002 number:12 month:12 pages:2339-2368 https://doi.org/10.1023/A:1021389901229 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4700 33.00 VZ AR 41 2002 12 12 2339-2368 |
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10.1023/A:1021389901229 doi (DE-627)OLC2052354689 (DE-He213)A:1021389901229-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Benkaddour, I. verfasserin aut Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. Hssaini, M. aut Kessabi, M. aut Maroufi, B. aut Sedra, M. B. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 41(2002), 12 vom: Dez., Seite 2339-2368 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:41 year:2002 number:12 month:12 pages:2339-2368 https://doi.org/10.1023/A:1021389901229 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4700 33.00 VZ AR 41 2002 12 12 2339-2368 |
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10.1023/A:1021389901229 doi (DE-627)OLC2052354689 (DE-He213)A:1021389901229-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Benkaddour, I. verfasserin aut Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. Hssaini, M. aut Kessabi, M. aut Maroufi, B. aut Sedra, M. B. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 41(2002), 12 vom: Dez., Seite 2339-2368 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:41 year:2002 number:12 month:12 pages:2339-2368 https://doi.org/10.1023/A:1021389901229 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4700 33.00 VZ AR 41 2002 12 12 2339-2368 |
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10.1023/A:1021389901229 doi (DE-627)OLC2052354689 (DE-He213)A:1021389901229-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Benkaddour, I. verfasserin aut Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. Hssaini, M. aut Kessabi, M. aut Maroufi, B. aut Sedra, M. B. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 41(2002), 12 vom: Dez., Seite 2339-2368 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:41 year:2002 number:12 month:12 pages:2339-2368 https://doi.org/10.1023/A:1021389901229 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4700 33.00 VZ AR 41 2002 12 12 2339-2368 |
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10.1023/A:1021389901229 doi (DE-627)OLC2052354689 (DE-He213)A:1021389901229-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Benkaddour, I. verfasserin aut Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. Hssaini, M. aut Kessabi, M. aut Maroufi, B. aut Sedra, M. B. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 41(2002), 12 vom: Dez., Seite 2339-2368 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:41 year:2002 number:12 month:12 pages:2339-2368 https://doi.org/10.1023/A:1021389901229 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4700 33.00 VZ AR 41 2002 12 12 2339-2368 |
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Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory |
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Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. © Plenum Publishing Corporation 2002 |
| abstractGer |
Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. © Plenum Publishing Corporation 2002 |
| abstract_unstemmed |
Abstract We build in this paper the algebra of q-deformed pseudo-differential operators, shown to be an essential step toward setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy, namely the q-KdV and q-Boussinesq integrable systems. We also present the q-generalization of the conformal transformations of the currents un,n ≥ 2, and discuss the primary condition of the fields Wn, n ≥ 2, by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented. © Plenum Publishing Corporation 2002 |
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| title_short |
Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory |
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Hssaini, M. Kessabi, M. Maroufi, B. Sedra, M. B. |
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