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Rigorous asymptotics of a KdV soliton gas (Q2030373)

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English	Rigorous asymptotics of a KdV soliton gas	scientific article

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scholarly article

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Rigorous asymptotics of a KdV soliton gas (English)

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Communications in Mathematical Physics

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publication date

7 June 2021

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full work available at URL

https://arxiv.org/abs/1807.00608

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zbMATH Keywords

KdV equation

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large space asymptotics

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Riemann-Hilbert problem

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation

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Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials

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Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy

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A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation

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Cnoidal Waves as Exact Sums of Repeated Solitary Waves: New Series for Elliptic Functions

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Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

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Numerical simulation of a solitonic gas in KdV and KdV-BBM equations

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Primitive potentials and bounded solutions of the KdV equation

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Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

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Kinetic equation for a soliton gas and Its hydrodynamic reductions

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Critical density of a soliton gas

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On the Form of Dispersive Shock Waves of the Korteweg-de Vries Equation

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Riemann‐Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler‐Poisson‐Darboux type

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A numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions

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The generation, propagation, and extinction of multiphases in the KdV zero-dispersion limit

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Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent

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Large N Asymptotics in Random Matrices

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Reflectionless Transmission through Dielectrics and Scattering Potentials

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The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

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Method of averaging for two-dimensional ''integrable'' equations

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Elliptic functions and applications

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The hyperbolic nature of the zero dispersion Kdv limit

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The small dispersion limit of the Korteweg-de Vries equation. I

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On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation

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Turbulence in Integrable Systems

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Construction of higher-dimensional nonlinear integrable systems and of their solutions

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Identifiers

zbMATH Open document ID

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10.1007/s00220-021-03942-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2030373

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