Algebro-geometric integration of the Hirota equation and the Riemann-Hilbert problem (Q6664563)

scientific article; zbMATH DE number 7968450

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English	Algebro-geometric integration of the Hirota equation and the Riemann-Hilbert problem	scientific article; zbMATH DE number 7968450

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instance of

scholarly article

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title

Algebro-geometric integration of the Hirota equation and the Riemann-Hilbert problem (English)

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Reports on Mathematical Physics

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publication date

16 January 2025

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zbMATH Keywords

Riemann-Hilbert method

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Baker-Akhiezer function

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algebro-geometric solution

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MaRDI profile type

Publication

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cites work

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The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves

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

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

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Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles

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Multiple-high-order pole solutions for the NLS equation with quartic terms

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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Generalized Hirota's bilinear equations and their soliton solutions

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A Riemann-Hilbert approach to the Harry-Dym equation on the line

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Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation

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On the dressing method for the generalised Zakharov-Shabat system

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An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation

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Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation

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Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data

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Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value

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A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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Identifiers

DOI

10.1016/s0034-4877(24)00085-5

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6664563