Transparent boundary conditions for the sine-Gordon equation: modeling the reflectionless propagation of kink solitons on a line
From MaRDI portal
Publication:2064196
DOI10.1016/j.physleta.2021.127822OpenAlexW3213781763MaRDI QIDQ2064196
Publication date: 5 January 2022
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.13299
Related Items (3)
Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks ⋮ An integrable matrix NLS equation on star graph and symmetry-dependent connection conditions of vertex ⋮ Discrete nonlocal nonlinear Schrödinger equation on graphs: dynamics of PT-symmetric solitons in discrete networks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D
- Absorbing boundary conditions for relativistic quantum mechanics equations
- Competing boundary interactions in a Josephson junction network with an impurity
- High order compact alternating direction implicit method for the generalized sine-Gordon equation
- Discrete artificial boundary conditions for nonlinear Schrödinger equations
- Y-junction of superconducting Josephson chains
- Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
- An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain
- Numerical solution of the sine-Gordon equation
- Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics
- Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
- The stationary sine-Gordon equation on metric graphs: exact analytical solutions for simple topologies
- Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
- Pseudo differential operators
- Discrete transparent boundary conditions for the Schrödinger equation on circular domains
- Transparent boundary conditions for the Bogoliubov-de Gennes equation in \((1+1)\)D
- Transparent quantum graphs
- The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
- Discrete transparent boundary conditions for Schrödinger-type equations for non-compactly supported initial data
- Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
- High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains
- A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation
- Absorbing Boundary Conditions for Hyperbolic Systems
- Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis
- Fourth‐order compact scheme for the one‐dimensional sine‐Gordon equation
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- A predictor--corrector scheme for the sine-Gordon equation
- A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions
- Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
This page was built for publication: Transparent boundary conditions for the sine-Gordon equation: modeling the reflectionless propagation of kink solitons on a line