Stokes phenomena in discrete Painlevé II
From MaRDI portal
Publication:4647125
DOI10.1098/rspa.2016.0539zbMath1404.39005arXiv1607.04494OpenAlexW4231716506WikidataQ52384928 ScholiaQ52384928MaRDI QIDQ4647125
Nalini Joshi, S. Luu, Christopher J. Lustri
Publication date: 4 January 2019
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04494
Related Items (4)
Standing lattice solitons in the discrete NLS equation with saturation ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I ⋮ Capturing the cascade: a transseries approach to delayed bifurcations ⋮ Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of Riemann-Hilbert problems: Painlevé II
- Stokes' phenomenon; smoothing a Victorian discontinuity
- The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
- Asymptotic classification of solutions to the first discrete Painlevé equation
- A local asymptotic analysis of the discrete first Painlevé equation as the discrete independent variable approaches infinity
- Random unitary matrices, permutations and Painlevé
- The Painlevé property. One century later
- Painlevé differential equations in the complex plane
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- The second Painlevé equation as a model for the electric field in a semiconductor.
- Painlevé II in random matrix theory and related fields
- The resurgence of instantons: multi-cut Stokes phases and the Painlevé II equation
- Multiple orthogonal polynomials associated with an exponential cubic weight
- A differential equation for orthogonal polynomials
- RESURGENCE IN DIFFERENCE EQUATIONS, WITH AN APPLICATION TO LEGENDRE FUNCTIONS
- Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations
- Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation
- Electrical structures of interfaces: a Painlevé II model
- Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations
- Existence and uniqueness of tri-tronqu e solutions of the second Painlev hierarchy
- INVERSE FACTORIAL-SERIES SOLUTIONS OF DIFFERENCE EQUATIONS
- Hyperasymptotics
- Uniform asymptotic smoothing of Stokes’s discontinuities
- Asymptotics for the painlevé II equation
- Symmetrization in the geometric theory of functions of a complex variable
- Stokes Phenomenon and Matched Asymptotic Expansions
- Quicksilver Solutions of a q‐Difference First Painlevé Equation
- Stokes phenomena in discrete Painlevé I
- Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation
- Hyperasymptotics for nonlinear ODEs I. A Riccati equation
- Hyperasymptotics for nonlinear ODEs II. The first Painlevé equation and a second-order Riccati equation
- Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg—de Vries equation in the small‐dispersion limit
- On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.
This page was built for publication: Stokes phenomena in discrete Painlevé II
