WKB analysis of painleve transcendents with a large parameter III. Local reduction of 2-parameter Painleve transcendents

被引：20

作者：

Kawai, T ^{[1
]}

Takei, Y ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 60601, Japan

来源：

ADVANCES IN MATHEMATICS | 1998年 / 134卷 / 01期

关键词：

D O I：

10.1006/aima.1997.1716

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：178 / 218

页数：41

共 13 条

[1] WKB analysis of Painleve transcendents with a large parameter .1.
Kawai, T
Takei, Y
ADVANCES IN MATHEMATICS, 1996, 118 (01) : 1 - 33
[2] ON THE STRUCTURE OF PAINLEVE TRANSCENDENTS WITH A LARGE PARAMETER
KAWAI, T
TAKEI, Y
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1993, 69 (07) : 224 - 229
[3] On the structure of painleve transcendents with a large parameter .2.
Kawai, T
Takei, Y
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1996, 72 (07) : 144 - 147
[4] On WKB analysis of higher order Painleve equations with a large parameter
Kawai, T
Takei, Y
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2004, 80 (05) : 53 - 56
[5] WKB analysis of higher order Painleve' equations with a large parameter -: Local reduction of 0-parameter solutions for Painleve' hierarchies (PJ) (J = I, II-1 or II-2)
Kawai, Takahiro
Takei, Yoshitsugu
ADVANCES IN MATHEMATICS, 2006, 203 (02) : 636 - 672
[6] 2-Parameter τ-Function for the First Painleve Equation: Topological Recursion and Direct Monodromy Problem via Exact WKB Analysis
Iwaki, Kohei
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 377 (02) : 1047 - 1098
[7] KADOMSTEV-PETVIASHVILE AND 2-DIMENSIONAL SINE-GORDON EQUATIONS - REDUCTION TO PAINLEVE TRANSCENDENTS
KALIAPPAN, P
LAKSHMANAN, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (10): : L249 - L252
[8] 2-PARAMETER FAMILY OF REAL SOLUTIONS OF PAINLEVE 2ND EQUATION
KAPAEV, AA
NOVOKSHENOV, VI
DOKLADY AKADEMII NAUK SSSR, 1986, 290 (03): : 590 - 594
[9] Rational Solutions of the Painleve-III Equation: Large Parameter Asymptotics
Bothner, Thomas
Miller, Peter D.
CONSTRUCTIVE APPROXIMATION, 2020, 51 (01) : 123 - 224
[10] The second Painleve equation in the large-parameter limit I: Local asymptotic analysis
Joshi, N
STUDIES IN APPLIED MATHEMATICS, 1999, 102 (04) : 345 - 373

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