A global factorization theorem for the ZS-AKNS system.
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Displaying 1 – 7 of 7
A Lax formalism for the elliptic difference Painlevé equation.
Yamada, Yasuhiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
A particular solution of a Painlevé system in terms of the hypergeometric function .
Suzuki, Takao (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
A simple proof of the non-integrability of the first and the second Painlevé equations
Henryk Żołądek (2011)
Banach Center Publications
The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
An ultradiscrete matrix version of the fourth Painlevé equation.
Field, Chris M., Ormerod, Chris M. (2007)
Advances in Difference Equations [electronic only]
Application of uniform asymptotics method to analyzing the asymptotic behaviour of the general fourth Painlevé transcendent.
Qin, Huizeng, Lu, Youmin (2005)
International Journal of Mathematics and Mathematical Sciences
Asymptotic expansions of solutions to the fifth Painlevé equation in neighbourhoods of singular and nonsingular points of the equation
Anastasia Parusnikova (2012)
Banach Center Publications
Applying methods of plane Power Geometry we are looking for the asymptotic expansions of solutions to the fifth Painlevé equation in the neighbourhood of its singular and nonsingular points.
Currently displaying 1 – 7 of 7
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