Open Problems for Painleve Equations

被引：13
作者：
Clarkson, Peter A. [1 ]
机构：
[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7FS, Kent, England
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2019年 / 15卷
关键词：
Painleve equations; open problems; ORDINARY DIFFERENTIAL-EQUATIONS; RIEMANN-HILBERT PROBLEMS; NONLINEAR EVOLUTION-EQUATIONS; LARGE-DEGREE ASYMPTOTICS; UNITARY-MATRIX MODELS; NUMERICAL-SOLUTION; 2ND-ORDER ODES; EQUIVALENCE PROBLEM; POLYNOMIAL HAMILTONIANS; SIMILARITY REDUCTIONS;
D O I：
10.3842/SIGMA.2019.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper some open problems for Painleve equations are discussed. In particular the following open problems are described: (i) the Painleve equivalence problem; (ii) notation for solutions of the Painleve equations; (iii) numerical solution of Painleve equations; and (iv) the classification of properties of Painleve equations.
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页数：20
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