General formal solutions for a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)
DOI10.2969/jmsj/78567856zbMath1435.34092OpenAlexW2940921017MaRDI QIDQ2330995
Publication date: 23 October 2019
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jmsj/1556092820
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Related Items (1)
Cites Work
- Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter
- WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind
- On a generalized \(2+1\) dispersive water wave hierarchy
- On the Stokes geometry of a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)
- On a construction of general formal solutions for equations of the first Painlevé hierarchy. I
- The first and second Painlevé equations of higher order and some relations between them
- WKB analysis of higher order Painlevé equations with a large parameter -- local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\))
- Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
- Nonisospectral scattering problems: A key to integrable hierarchies
- Virtual Turning Points
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: General formal solutions for a unified family of \(P_{\mathrm{J}}\)-hierarchies (J=I, II, IV, 34)