Nonlinear Schrödinger equation on the half-line without a conserved number of solitons

DOI10.1016/J.PHYSD.2023.133650OpenAlexW4283731988MaRDI QIDQ2683596

Cheng Zhang, Vincent Caudrelier, Nicolas Crampé, Eric Ragoucy

Publication date: 14 February 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.13978

zbMATH Keywords

inverse scattering methodclassical boundary algebrasoliton solutions on the half-linetime-dependent integrable boundary conditions

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (1)

Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions

Cites Work

• Unnamed Item
• Quantization of the nonlinear Schrödinger equation on the half line
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Boundary conditions for integrable equations
• Boundary exchange algebras and scattering on the half line
• Boundary conditions for nonlinear equations compatible with integrability
• Integrable nonlinear evolution equations on the half-line
• New integrable boundary conditions for the Ablowitz-Ladik model: from Hamiltonian formalism to nonlinear mirror image method
• The generalized non-linear Schrödinger model on the interval
• A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation
• Spontaneous symmetry breaking in thegl(N)-NLS hierarchy on the half line
• Vector nonlinear Schrödinger equation on the half-line
• Solving the quantum nonlinear Schrödinger equation with δ-type impurity
• The quantum nonlinear Schrödinger model with point-like defect
• 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
• Initial boundary value problem for the nonlinear Schrodinger equation
• The inverse scattering transform: Semi-infinite interval
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• A unified transform method for solving linear and certain nonlinear PDEs
• Reflection–transmission algebras
• Soliton generation for initial-boundary-value problems
• Method for Solving the Korteweg-deVries Equation
• From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
• The nonlinear Schrödinger equation on the half line
• Boundary conditions for integrable quantum systems
• Dressing the boundary: On soliton solutions of the nonlinear Schrödinger equation on the half‐line
• Lax pair formulation in the simultaneous presence of boundaries and defects
• On the nonlinear Schrödinger equation with a boundary condition involving a time derivative of the field

This page was built for publication: Nonlinear Schrödinger equation on the half-line without a conserved number of solitons