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The Davey-Stewartson equation on the half-plane - MaRDI portal

The Davey-Stewartson equation on the half-plane (Q2391137)

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Language	Label	Description	Also known as
English	The Davey-Stewartson equation on the half-plane	scientific article

Statements

scholarly article

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The Davey-Stewartson equation on the half-plane (English)

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Communications in Mathematical Physics

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publication date

24 July 2009

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zbMATH Keywords

Davey-Stewartson equation

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non-local Riemann-Hilbert problem

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Athanassios S. Fokas

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00220-009-0809-1

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On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation

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On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation

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On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane

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Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

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Linear spectral problems, non-linear equations and the δ-method

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On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations

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A unified transform method for solving linear and certain nonlinear PDEs

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The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations

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Two–dimensional linear partial differential equations in a convex polygon

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

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Integrable nonlinear evolution equations on the half-line

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Analysis of the global relation for the nonlinear Schrödinger equation on the half-line

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Integrable nonlinear evolution equations on a finite interval

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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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A Unified Approach to Boundary Value Problems

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A new transform method for evolution partial differential equations

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The Fundamental Differential Form and Boundary-Value Problems

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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The nonlinear Schrödinger equation on the half-line

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A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line

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Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

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A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon

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A steepest descent method for oscillatory Riemann-Hilbert problems

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Long-time decay of the solutions of the Davey-Stewartson II equations

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Dromions and a boundary value problem for the Davey-Stewartson 1 equation

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The Davey–Stewartson I equation on the quarter plane with homogeneous Dirichlet boundary conditions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-009-0809-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2391137

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