Lax pair representation and Darboux transformation of noncommutative Painlevé’s second equation

@article{Irfan2012LaxPR,
  title={Lax pair representation and Darboux transformation of noncommutative Painlev{\'e}’s second equation},
  author={Muhammad Irfan},
  journal={Journal of Geometry and Physics},
  year={2012},
  volume={62},
  pages={1575-1582}
}
  • M. Irfan
  • Published 1 July 2012
  • Mathematics
  • Journal of Geometry and Physics
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9 Citations
Background Citations
2
Methods Citations
2

9 Citations

Quasideterminant solutions of NC Painlevé II equation with the Toda solution at n=1 as a seed solution in its Darboux transformation
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In this article non-abelian version of quantum Painleve II equation is presented with Its quasideterminant solutions has been derived by using the Darboux transformations. This non-abelian quantum…
Zero curvature representation of non-commutative and quantum Painlev\'e II equation with its non-vacuum solutions
Quasideterminant Darboux solutions of Noncommutative Equations of Langmuir Oscillations
This article encloses some results on nonncommutative analogue of nonabelian equations of Langmuir oscillations. One of the main contributions of this work is to construct the Darbboux transformation…
Darboux transformation and exact solitonic solutions of integrable coupled nonlinear wave equation
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Matrix Painlevé II equations
Abstract We use the Painlevé–Kovalevskaya test to find three matrix versions of the Painlevé II equation. We interpret all these equations as group-invariant reductions of integrable matrix evolution…
On matrix Painlev\'e-4 equations. Part 2: Isomonodromic Lax pairs
For all non-equivalent matrix systems of Painlevé-4 type found by authors in [4], isomonodromic Lax pairs are presented. Limiting transitions from these systems to matrix Painlevé-2 equations are…
A new stochastic computing paradigm for nonlinear Painlevé II systems in applications of random matrix theory
Abstract.The aim of the present work is to investigate the stochastic numerical solutions of nonlinear Painlevé II systems arising from studies of two-dimensional Yang-Mills theory, growth processes…
S I ] 2 3 O ct 2 02 1 On matrix Painlevé-4 equations . Part 2 : Isomonodromic Lax pairs
For all non-equivalent matrix systems of Painlevé-4 type found by authors in [4], isomonodromic Lax pairs are presented. Limiting transitions from these systems to matrix Painlevé-2 equations are…

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