THE RIEMANN–HILBERT APPROACH TO OBTAIN CRITICAL ASYMPTOTICS FOR HAMILTONIAN PERTURBATIONS OF HYPERBOLIC AND ELLIPTIC SYSTEMS
From MaRDI portal
Publication:2893150
DOI10.1142/S2010326311300026zbMath1244.35100arXiv1111.3531MaRDI QIDQ2893150
Publication date: 26 June 2012
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.3531
Riemann-Hilbert problems in context of PDEs (35Q15) Painlevé-type functions (33E17) Higher-order quasilinear hyperbolic equations (35L77)
Related Items (2)
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy ⋮ Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI
Cites Work
- Geometry of the string equations
- Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach
- On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
- On the solvability of Painlevé II and IV
- Weakly nonlinear solutions of equation \(P^ 2_ 1\)
- The isomonodromy approach to matrix models in 2D quantum gravity
- Semiclassical study of quantum scattering on the line
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Universality of a double scaling limit near singular edge points in random matrix models
- On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation
- Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation
- Hamiltonian PDEs: deformations, integrability, solutions
- The small dispersion limit of the korteweg-de vries equation. ii
- The small dispersion limit of the Korteweg-de Vries equation. III
- The small dispersion limit of the Korteweg-de Vries equation. I
- Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight
- The korteweg-de vries equation with small dispersion: Higher order lax-levermore theory
- Long-time Asymptotics for the Camassa–Holm Equation
- On the solvability of Painleve I, III and V
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- Inverse scattering on the line
- L2-Sobolev space bijectivity of the scattering and inverse scattering transforms
- Oscillations of the zero dispersion limit of the korteweg‐de vries equation
- An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation
- Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)
- Quasi-linear Stokes phenomenon for the Painlevé first equation
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation
- On Boutroux's Tritronquée Solutions of the First Painlevé Equation
- The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation
- Numerical solution of the small dispersion limit of Korteweg—de Vries and Whitham equations
- The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases
This page was built for publication: THE RIEMANN–HILBERT APPROACH TO OBTAIN CRITICAL ASYMPTOTICS FOR HAMILTONIAN PERTURBATIONS OF HYPERBOLIC AND ELLIPTIC SYSTEMS
