Transient asymptotics of the modified Camassa-Holm equation (Q6591574)

scientific article; zbMATH DE number 7900389

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English	Transient asymptotics of the modified Camassa-Holm equation	scientific article; zbMATH DE number 7900389

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instance of

scholarly article

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title

Transient asymptotics of the modified Camassa-Holm equation (English)

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Journal of the London Mathematical Society. Second Series

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publication date

22 August 2024

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zbMATH Keywords

Camassa-Holm equation

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Riemann-Hilbert problem

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steepest descent analysis

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MaRDI profile type

Publication

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cites work

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Scattering and inverse scattering for first order systems

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Universality in the Profile of the Semiclassical Limit Solutions to the Focusing Nonlinear Schrodinger Equation at the First Breaking Curve

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Painlevé-Type Asymptotics for the Camassa–Holm Equation

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A Riemann–Hilbert approach to the modified Camassa–Holm equation with nonzero boundary conditions

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The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem

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Long-time Asymptotics for the Camassa–Holm Equation

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Long time asymptotic behavior of the focusing nonlinear Schrödinger equation

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Q4311808

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Airy and Painlevé asymptotics for the mKdV equation

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Painlevé II asymptotics near the leading edge of the oscillatory zone for the Korteweg—de Vries equation in the small‐dispersion limit

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The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

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On the asymptotic stability of $N$-soliton solutions of the defocusing nonlinear Schrödinger equation

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The collisionless shock region for the long‐time behavior of solutions of the KdV equation

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

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Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

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Dispersive Asymptotics for Linear and Integrable Equations by the ∂ ¯ $$\overline {\partial }$$ Steepest Descent Method

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On a class of physically important integrable equations

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Q5394330

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Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

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

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Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy

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Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy

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A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions

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Universality Near the Gradient Catastrophe Point in the Semiclassical <scp>Sine‐Gordon</scp> Equation

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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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Generalizations of the Camassa–Holm equation

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Identifiers

zbMATH Open document ID

1545.35165

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DOI

10.1112/jlms.12967

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6591574