Multicomponent Painlevé ODEs and related nonautonomous KdV stationary hierarchies

نویسندگان

چکیده

First, starting from two hierarchies of autonomous Stäckel ordinary differential equations (ODEs), we reconstruct the hierarchy Korteweg de Vries (KdV) stationary systems. Next, deform considered systems to nonautonomous Painlevé ODEs. Finally, related KdV respective

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Generalized scaling reductions and Painlevé hierarchies

We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generalized scaling reductions of the Korteweg-de Vries and dispersive water wave hierarchies. We also construct a generalized scaling reduction of Burgers hierarchy. Corresponding author: P. R. Gordoa. Tel: +34 91 4888243; Fax: +34 91 488 7338; email: [email protected]

متن کامل

On Discrete Painlevé Equations Associated with the Lattice Kdv Systems and the Painlevé Vi Equation

1 Abstract A new integrable nonautonomous nonlinear ordinary difference equation is presented which can be considered to be a discrete analogue of the Painlevé V equation. Its derivation is based on the similarity reduction on the two-dimensional lattice of integrable partial difference equations of KdV type. The new equation which is referred to as GDP (generalised discrete Painlevé equation) ...

متن کامل

Bäcklund Transformations for Fourth Painlevé Hierarchies Pilar

Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improved method of constructing BTs for hierarchies of ODEs. This approach is then applied to fourth Painlevé (PIV ) hierarchies recently found by the same authors [Publ. Res. Inst. Math. Sci. (Kyoto) 37 327–347 (2001)]. We ...

متن کامل

KP and KdV hierarchies in extended superspace

We give the formulation in extended superspace of an N = 2 super-symmetric KP hierarchy using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian structures, which lead to different reductions of the KP hierarchy. In particular we find two different hierarchies with the N = 2 classical super-W n algebra as a hamiltonian structure. The relation with the formul...

متن کامل

The Painlevé analysis for N = 2 super KdV equations

The Painlevé analysis of a generic multiparameter N = 2 extension of the Korteweg-de Vries equation is presented. New and unusual aspects of the analysis, pertaining to the presence of two fermionic fields, are emphasized. For the general class of models considered, we find that the only ones which pass the test are precisely the four known integrable supersymmetric KdV equations, including the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Studies in Applied Mathematics

سال: 2023

ISSN: ['0022-2526', '1467-9590']

DOI: https://doi.org/10.1111/sapm.12571