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Zero curvature representation of non-commutative and quantum Painlevé II equation with its non-vacuum solutions
Abstract : In this paper, I derive a zero curvature representation of quantum Painlevé II equation and its Riccati form which can be reduced to the classical Painlevé II when ħ→0. Further I derive non-vacuum solitonic esolutions of the noncommutative Painlevé II equation with the help of its Darboux transformation for which the solution of the noncommutative Painlevé Riccati equation has been taken as a seed solution.
Cited literature [25 references]
https://hal.archives-ouvertes.fr/hal-00950582
Contributor : Irfan Mahmood <>
Submitted on : Monday, March 24, 2014 - 4:31:21 PM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM
Long-term archiving on: : Tuesday, June 24, 2014 - 10:53:33 AM
Contributor : Irfan Mahmood <>
Submitted on : Monday, March 24, 2014 - 4:31:21 PM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM
Long-term archiving on: : Tuesday, June 24, 2014 - 10:53:33 AM
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ap_jnmp_NC_and_QPIIe_file.pdf
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