FAST SOLITONS ON STAR GRAPHS
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Publication:3011228
DOI10.1142/S0129055X11004345zbMath1222.35182arXiv1004.2455OpenAlexW3100006781MaRDI QIDQ3011228
Diego Noja, Claudio Cacciapuoti, Riccardo Adami, Domenico Finco
Publication date: 28 June 2011
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.2455
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
- A remark on soliton-potential interactions for nonlinear Schrödinger equations
- Colliding solitons for the nonlinear Schrödinger equation
- Strong NLS soliton-defect interactions
- Fast soliton scattering by delta impurities
- Soliton propagation on chains with simple nonlocal defects
- Coupling in the singular limit of thin quantum waveguides
- Fast Soliton Scattering by Attractive Delta Impurities
- Endpoint Strichartz estimates
- Contact interactions on graph superlattices
- Kirchhoff's rule for quantum wires
- Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide
- Analysis of a FitzHugh–Nagumo–Rall model of a neuronal network
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Quantum Graphs and Their Applications
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