The q-Deformed KdV Equation

HU Zhan-Ning

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(8) : 765-768

The q-Deformed KdV Equation

HU Zhan-Ning ^,

Institute of Modern Physics,Xibei University,Xi'an 710069

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Abstract：
The q-deformed KdV equation was obtained corresponding to the "quantum"Virasoro algebra,which coincides with the usual one in the limit of q→1.

References

[1]

P. P. Kulish and E. K. Sklyanin, Lecture Notes in Physics, 151(1982), 61[2] M. Jimbo, Lett. Math. Phys., 10(1985); 63; 11(1986), 247.[3] E. Witten, Institute for Advanced Study, preprint, IASSNS-HEP-89/32; Nucl. Phys., B330(1990), 285.[4] M. Jimho, Int. J. Mod. Phys., A4(1989), 3759.[5] M. Rosso, Commun. Math. Phys., 117(1988), 581.[6] P. Roche and D. Arnaudon, Lett. Math. Phys., 17(1989), 295.[7] L. Avarez-Gaume, C. Gomez and G. Sierra, Phys. Lett., B220(1989), 142; Nucl. Phys., B319(1989), 155,[8] Bo-Yu Hou, Bo-Yan Hou and Z. Q. Ma, Commun. Theor. Phys., 13(1990), 181; 13(1990), 341.[9] P. Kulish and N. Reshetikhih, Lett. Math. Phys., 18(1989), 143.[10] Hu Zhan-Ning, preprint, NWU-H-90120703:[11] M. Chaichian, Z. Popowicz and P. Prebnajder, Phys. Lett., B249(1990).[12] Hu Zhan-Ning, preprint, NWU-91010805.[13] N. Aizawa and H. Sato, preprint, HUPD-9012 July (1990).[14] J.-L, Gervais, Phys. Lett., B160(1985), 277.

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HU Zhan-Ning. The q-Deformed KdV Equation[J]. Chinese Physics C, 1991, 15(8): 765-768.

HU Zhan-Ning. The q-Deformed KdV Equation[J]. Chinese Physics C, 1991, 15(8): 765-768. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

The q-Deformed KdV Equation

HU Zhan-Ning ^,

Corresponding author: HU Zhan-Ning,

Institute of Modern Physics,Xibei University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-08-05

Abstract: The q-deformed KdV equation was obtained corresponding to the "quantum"Virasoro algebra,which coincides with the usual one in the limit of q→1.