The Fokas method for integrable evolution equations on a time-dependent interval (Q4628753)

scientific article; zbMATH DE number 7036606

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English	The Fokas method for integrable evolution equations on a time-dependent interval	scientific article; zbMATH DE number 7036606

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instance of

scholarly article

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title

The Fokas method for integrable evolution equations on a time-dependent interval (English)

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author

Baoqiang Xia

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published in

Journal of Mathematical Physics

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publication date

15 March 2019

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zbMATH Keywords

Fokas method

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integrable evolution equations

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nonlinear Schrödinger equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.5044259

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cites work

A unified transform method for solving linear and certain nonlinear PDEs

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A Unified Approach to Boundary Value Problems

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A new transform method for evolution partial differential equations

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A transform method for linear evolution PDEs on a finite interval

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Two–dimensional linear partial differential equations in a convex polygon

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The Method of Fokas for Solving Linear Partial Differential Equations

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Fokas’s Unified Transform Method for linear systems

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Integrable evolution equations in time-dependent domains

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The Dirichlet-to-Neumann map for the heat equation on a moving boundary

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Generalized Dirichlet to Neumann map for moving initial-boundary value problems

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Boundary value problems for third-order linear PDEs in time-dependent domains

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Generalized Dirichlet-to-Neumann Map in Time-Dependent Domains

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Integrable nonlinear evolution equations on the half-line

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The nonlinear Schrödinger equation on the interval

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The nonlinear Schrödinger equation on the half-line

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The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs

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Integrable nonlinear evolution equations on a finite interval

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The unified method: I. Nonlinearizable problems on the half-line

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Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs

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The Degasperis-Procesi equation on the half-line

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On the inverse scattering method for integrable PDEs on a star graph

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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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Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line

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Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

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Initial-boundary-value problems for discrete evolution equations: discrete linear Schrödinger and integrable discrete nonlinear Schrödinger equations

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The Ablowitz–Ladik system with linearizable boundary conditions

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Initial-boundary value problems associated with the Ablowitz-Ladik system

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The Ablowitz–Ladik system on a finite set of integers

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Evolution equations on time-dependent intervals

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Long-time asymptotics of moving boundary problems using an Ehrenpreis-type representation and its Riemann-Hilbert nonlinearization

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Identifiers

zbMATH Open document ID

1472.37075

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DOI

10.1063/1.5044259

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4628753