On the nonlinear Schrödinger equation with a boundary condition involving a time derivative of the field

DOI10.1088/1751-8121/abeb51OpenAlexW3133976760MaRDI QIDQ5877043

Baoqiang Xia

Publication date: 3 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/abeb51

zbMATH Keywords

nonlinear Schrödinger equationsoliton solutionsintegrable boundary conditionsDarboux transformationBäcklund transformation

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (4)

A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation ⋮ Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary ⋮ Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions ⋮ Nonlinear Schrödinger equation on the half-line without a conserved number of solitons

Cites Work

• Unnamed Item
• Classical integrable defects as quasi Bäcklund transformations
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Quantum and classical integrable sine-Gordon model with defect
• Boundary conditions for integrable equations
• A multisymplectic approach to defects in integrable classical field theory
• The Bäcklund transformation and integrable initial boundary value problems
• Liouville integrable defects: the non-linear Schrödinger paradigm
• New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method
• CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
• Solitons, boundary value problems and a nonlinear method of images
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
• On the Nonlinear Schrödinger Equation on the Half Line with Homogeneous Robin Boundary Conditions
• Dressing the boundary: On soliton solutions of the nonlinear Schrödinger equation on the half‐line
• Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
• Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
• ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES

This page was built for publication: On the nonlinear Schrödinger equation with a boundary condition involving a time derivative of the field