Soliton solutions of the sine-Gordon equation on the half line

DOI10.1016/j.aml.2018.06.020zbMath1407.35052OpenAlexW2809162472MaRDI QIDQ1726432

Qiang Cheng, Cheng Zhang, Da-jun Zhang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.06.020

zbMATH Keywords

integrable boundary conditionsDarboux transformationboundary bound states

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

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Rogue periodic waves of the sine-Gordon equation ⋮ Vector NLS solitons interacting with a boundary* ⋮ Unnamed Item ⋮ Soliton solutions of the nonlinear Schrödinger equation with defect conditions

Cites Work

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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Boundary conditions for integrable equations
• Essentially nonlinear one-dimensional model of classical field theory
• Vector nonlinear Schrödinger equation on the half-line
• The integrable initial-boundary value problem on a semiline: nonlinear Schrodinger and sine-Gordon equations
• Solitons, boundary value problems and a nonlinear method of images
• A unified transform method for solving linear and certain nonlinear PDEs
• Linearizable initial boundary value problems for the sine-Gordon equation on the half-line
• On the Nonlinear Schrödinger Equation on the Half Line with Homogeneous Robin Boundary Conditions

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