A two-component Sasa-Satsuma equation: large-time asymptotics on the line (Q6123370)

scientific article; zbMATH DE number 7812574

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English	A two-component Sasa-Satsuma equation: large-time asymptotics on the line	scientific article; zbMATH DE number 7812574

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instance of

scholarly article

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title

A two-component Sasa-Satsuma equation: large-time asymptotics on the line (English)

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published in

Journal of Nonlinear Science

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publication date

4 March 2024

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full work available at URL

https://arxiv.org/abs/2309.16091

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zbMATH Keywords

two-component Sasa-Satsuma equation

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Cauchy problem

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long-time asymptotic behavior

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Riemann-Hilbert problem

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nonlinear steepest descent method

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MaRDI profile type

MaRDI publication profile

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cites work

Q4420610

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Asymptotic Solutions of the Korteweg-deVries Equation

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Rogue wave spectra of the Sasa-Satsuma equation

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Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line

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The Propagation of Nonlinear Wave Envelopes

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Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge

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Long time asymptotic behavior of the focusing nonlinear Schrödinger equation

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Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line

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A Riemann–Hilbert approach for the Degasperis–Procesi equation

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Long‐time asymptotics of the nonlinear Schrödinger equation shock problem

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Airy and Painlevé asymptotics for the mKdV equation

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Long-time asymptotics for an integrable evolution equation with a \(3 \times 3\) Lax pair

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The Generating Function for the Airy Point Process and a System of Coupled Painlevé II Equations

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On the asymptotic stability of \(N\)-soliton solutions of the defocusing nonlinear Schrödinger equation

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On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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Painlevé II in random matrix theory and related fields

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Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions

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The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation

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Long-time asymptotics for the spin-1 Gross-Pitaevskii equation

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The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair

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Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent

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Soliton resolution for the derivative nonlinear Schrödinger equation

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The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity

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Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions

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The algebraic representation for high order solution of Sasa-Satsuma equation

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The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation

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Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method

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Painlevé-type asymptotics of an extended modified KdV equation in transition regions

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Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation

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Data-driven solutions and parameter discovery of the Sasa-Satsuma equation via the physics-informed neural networks method

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Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems

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Long-time asymptotics of a three-component coupled nonlinear Schrödinger system

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The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights

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The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights

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Dynamic patterns of high-order rogue waves for Sasa-Satsuma equation

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Water waves, nonlinear Schrödinger equations and their solutions

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New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation

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Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation

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Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation

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The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions

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Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems

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The unified transform method for the Sasa–Satsuma equation on the half-line

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Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons

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The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method

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Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system

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High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem

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Binary Darboux transformation for the coupled Sasa-Satsuma equations

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The Riemann–Hilbert Problem and Inverse Scattering

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Identifiers

arXiv ID

2309.16091

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Mathematics Subject Classification ID

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10.1007/S00332-024-10015-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:6123370