Schlesinger transformations for discrete second Painleve equation: d-P-II

Mugan U; Sakka A; Santini PA

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Schlesinger transformations for discrete second Painleve equation: d-P-II

机译：离散第二Painleve方程的schlesinger变换：d-P-II

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摘要

A method to obtain the Schlesinger transformations for the standard discrete second Painleve equation, d-P-II, is given. The procedure involves formulating a Riemann-Hilbert problem for a transformation matrix which transforms the solution of the linear problem but leaves the associated monodromy data the same. (C) 2005 Elsevier B.V. All rights reserved.

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《Physics Letters, A》 |2005年第1期|共9页
作者
Mugan U; Sakka A; Santini PA;
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正文语种 eng
中图分类物理学;
关键词
discrete Painleve equations; Schlesinger transformations; inverse monodromy method; VI EQUATION; SOLVABILITY;

机译：离散Painleve方程;Schlesinger变换;逆单峰方法;VI方程;可解性;

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专利

1. Schlesinger transformations for discrete second Painleve equation: d-P-II [J] . Mugan U, Sakka A, Santini PA Physics Letters, A . 2005,第1期

机译：离散第二Painleve方程的schlesinger变换：d-P-II
2. Backlund transformations for discrete Painleve equations: Discrete P-II-P-V [J] . Sakka A, Mugan U Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2006,第2期

机译：离散Painleve方程的Backlund变换：离散P-II-P-V
3. Miura transformations for discrete Painleve equations coming from the affine E-8 Weyl group [J] . Ramani A., Grammaticos B., Willox R. Journal of Mathematical Physics . 2017,第4期

机译：来自acrifine e-8 Weyl组的离散痛苦方程的Miura变换
4. POINT TRANSFORMATIONS AND PAINLEVE EQUATIONS [C] . V. V. Dmitrieva International ISAAC Congress . 2003

机译：点变换和痛苦方程
5. Painleve analysis, Lie symmetries and integrability of nonlinear ordinary differential equations. [D] . Lu, Yixia. 2005

机译：非线性常微分方程的Painleve分析，Lie对称性和可积性。
6. Bäcklund transformations and nonlinear differential difference equations [O] . D. Levi, R. Benguria 1980

机译：贝克伦德变换和非线性微分差分方程
7. Schlesinger transformations for discrete Painleve' equation: d-P_{II} [O] . MUGAN U, SAKKA A, P. M. SANTINI 2005

机译：离散Painleve'方程的Schlesinger变换：d-P_ {II}
8. Painleve Property, Lax Pair, Auto-Baecklund Transformation and Recursion Operator of a Perturbed Korteweg-de Vries Equation [R] . Baby, B. V. 1987

机译：具有扰动的Korteweg-de Vries方程的painleve性质，Lax对，auto-Baecklund变换和递归算子

Schlesinger transformations for discrete second Painleve equation: d-P-II

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