ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES

DOI10.1142/S0219887808003223zbMath1166.70017arXiv0704.2326WikidataQ61834231 ScholiaQ61834231MaRDI QIDQ5505859

Vincent Caudrelier

Publication date: 28 January 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2326

zbMATH Keywords

integrable systemsdefectsnonlinear PDEsBäcklund transformationinverse scattering method

Mathematics Subject Classification ID

Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

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Cites Work

• Scattering in the presence of a reflecting and transmitting impurity
• Purely transmitting defect field theories
• From integrability to conductance, impurity systems
• The quantum nonlinear Schrödinger model with point-like defect
• The integrable initial-boundary value problem on a semiline: nonlinear Schrodinger and sine-Gordon equations
• CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• Initial boundary value problem for the nonlinear Schrodinger equation
• An exact solution for a derivative nonlinear Schrödinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Reflection–transmission quantum Yang–Baxter equations
• Boundary conditions for integrable quantum systems
• FROM DEFECTS TO BOUNDARIES

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