A Perturbative Approach for the Asymptotic Evaluation of the Neumann Value Corresponding to the Dirichlet Datum of a Single Periodic Exponential for the NLS

DOI10.1080/14029251.2014.905298zbMath1420.35359OpenAlexW2007131399WikidataQ115549982 ScholiaQ115549982MaRDI QIDQ5230945

Guenbo Hwang

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.905298

zbMATH Keywords

initial-boundary value problemnonlinear Schrödinger equationgeneralized Dirichlet to Neumann map

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

The Fokas method for the Broer-Kaup system on the half-line ⋮ Discrete linear evolution equations in a finite lattice ⋮ The Elliptic Sinh-Gordon Equation in the Quarter Plane ⋮ The modified Korteweg-de Vries equation on the quarter plane with t-periodic data ⋮ The mixed nonlinear Schrödinger equation on the half-line

Cites Work

• Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line
• Analysis of the global relation for the nonlinear Schrödinger equation on the half-line
• Zero-dispersion limit for integrable equations on the half-line with linearisable data
• Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition
• On the integrability of linear and nonlinear partial differential equations
• The unified method: I. Nonlinearizable problems on the half-line
• The unified method: II. NLS on the half-line witht-periodic boundary conditions
• Synthesis, as Opposed to Separation, of Variables
• Initial boundary value problems for integrable systems: towards the long time asymptotics
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs
• Soliton generation for initial-boundary-value problems
• Semiclassical nonlinear Schrödinger on the half line
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• The Fokas Method: The Dirichlet to Neumann Map for the Sine‐Gordon Equation
• The Modified Korteweg-de Vries Equation on the Half-Line with a Sine-Wave as Dirichlet Datum

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