Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs

DOI10.1016/j.jde.2019.09.035zbMath1439.35336arXiv1812.02012OpenAlexW2979043355WikidataQ127194759 ScholiaQ127194759MaRDI QIDQ2288024

Daniela Maier

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02012

zbMATH Keywords

spatial dynamicsFloquet-Bloch theorycubic Klein-Gordon equationsmall-amplitude solutionsdiscrete center manifold reduction

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Exact solutions of non-linear Klein-Gordon equation with non-constant coefficients through the trial equation method ⋮ Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Threshold phenomena and existence results for NLS ground states on metric graphs
• Bifurcations of standing localized waves on periodic graphs
• On the spectra of carbon nano-structures
• Modulating pulse solutions to quadratic quasilinear wave equations over exponentially long length scales
• Nonpersistence of breather families for the perturbed sine Gordon equation
• Centre manifold reduction for quasilinear discrete systems
• Nonlinear Schrödinger equations on periodic metric graphs
• Quantum waveguides
• Validity of the NLS approximation for periodic quantum graphs
• Breather solutions in periodic media
• Schrödinger operators on zigzag nanotubes
• Modulating pulse solutions for quasilinear wave equations
• Nonlinear Schrödinger equation on graphs: recent results and open problems
• Slowing down of the wave packets in quantum graphs
• Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials
• Modulating pulse solutions for a class of nonlinear wave equations

This page was built for publication: Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs