On an exact WKB approach to Ablowitz-Segur's connection problem for the second Painlevé equation
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Publication:3146200
DOI10.1017/S1446181100007963zbMath1011.34080MaRDI QIDQ3146200
Publication date: 11 September 2002
Published in: The ANZIAM Journal (Search for Journal in Brave)
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Related Items (4)
Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions ⋮ On Stokes Phenomena for the Alternate Discrete PI Equation ⋮ WKB analysis of higher order Painlevé equations with a large parameter -- local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)) ⋮ On integrability of nonautonomous nonlinear Schrödinger equations
Cites Work
- Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
- A connection formula for the second Painlevé transcendent
- Application of uniform asymptotics to the second Painlevé transcendent
- WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents
- WKB analysis of Painlevé transcendents with a large parameter. I
- Singular-perturbative reduction to Birkhoff normal form and instanton-type formal solutions of Hamiltonian systems
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Asymptotic Solutions of the Korteweg-deVries Equation
- ON CONNECTION FORMULAS FOR THE SECOND PAINLEVÉ TRANSCENDENT. PROOF OF THE MILES CONJECTURE, AND A QUANTIZATION RULE
- Asymptotics for the painlevé II equation
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