Sine-Gordon on a wormhole

DOI10.1088/1361-6544/ac08ebzbMath1467.35092arXiv2012.11141OpenAlexW3217616115MaRDI QIDQ5000120

Michał Kahl, Maciej Dunajski, Piotr Bizoń, Michał Kowalczyk

Publication date: 6 July 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11141

zbMATH Keywords

nonlinear dispersive equationssoliton resolution conjectureasymptotic stability of solitons

Mathematics Subject Classification ID

Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space
• The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states
• Spectral theory and nonlinear partial differential equations: a survey
• Stable soliton resolution for exterior wave maps in all equivariance classes
• Asymptotic analysis of soliton problems. An inverse scattering approach
• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Soliton resolution for equivariant wave maps on a wormhole
• Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
• NIST digital library of mathematical functions
• Internal modes of envelope solitons
• On asymptotic stability of nonlinear waves
• Fermi's golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states
• Classification of the radial solutions of the focusing, energy-critical wave equation
• Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited
• Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
• On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential
• A hyperboloidal study of tail decay rates for scalar and Yang–Mills fields
• The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• Why are solitons stable?
• Soliton Resolution for Corotational Wave Maps on a Wormhole