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• W2147996927 abstract "In this paper, I construct the Darboux transformations for the noncommuting elements ϕ and ψ of noncommutative Toda system at n=1 with the help of zero curvature representation to the associated systems of non-linear differential equations. I also derive the quasideterminant solutions to the noncommutative Painlevé II equation by taking the Toda solutions at n=1 as a seed solution in its Darboux transformations. Further by iteration, I generalize the Darboux transformations of these solutions to the Nth form." @default.
• W2147996927 created "2016-06-24" @default.
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• W2147996927 date "2015-09-01" @default.
• W2147996927 modified "2023-10-16" @default.
• W2147996927 title "Quasideterminant solutions of NC Painlevé II equation with the Toda solution at n=1 as a seed solution in its Darboux transformation" @default.
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• W2147996927 doi "https://doi.org/10.1016/j.geomphys.2015.05.004" @default.
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