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Lax pair representation and Darboux transformation of noncommutative Painlevé second equation

Abstract : The extension of Painlevé equations to noncommutative spaces has been considering extensively in the theory of integrable systems and it is also interesting to explore some remarkable aspects of these equations such as Painlevé property, Lax representation, Dar- boux transformation and their connection to well know integrable equations. This paper is devoted to the Lax formulation, Darboux transformation and Quasideterminant solution of noncommutative Painlevé second equation which is recently introduced by V. Retakh and V. Rubtsov.
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https://hal.archives-ouvertes.fr/hal-00667615
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Submitted on : Wednesday, February 8, 2012 - 9:28:25 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:50 AM
Long-term archiving on: : Thursday, November 22, 2012 - 11:25:30 AM

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  • HAL Id : hal-00667615, version 1

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Irfan Mahmood. Lax pair representation and Darboux transformation of noncommutative Painlevé second equation. 2012. ⟨hal-00667615⟩

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