The rigidity of sine‐gordon breathers
From MaRDI portal
Publication:4313224
DOI10.1002/cpa.3160470803zbMath0814.35112OpenAlexW2124427712MaRDI QIDQ4313224
H. P. jun. McKean, Alan Weinstein, Björn Birnir
Publication date: 18 June 1995
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160470803
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51)
Related Items
On the variational structure of breather solutions. I: Sine-Gordon equation ⋮ Second order nonpersistence of the sine Gordon breather under an exceptional perturbation ⋮ Nonexistence of small, odd breathers for a class of nonlinear wave equations ⋮ Quantum dynamics in the Fermi-Pasta-Ulam problem ⋮ Nonlinear stability of MKdV breathers ⋮ Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space ⋮ A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients ⋮ On asymptotic stability of the sine-Gordon kink in the energy space ⋮ Breather solutions for a radially symmetric curl-curl wave equation with double power nonlinearity ⋮ Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph ⋮ Breather solutions in periodic media ⋮ Breather solutions of the cubic Klein–Gordon equation ⋮ Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials ⋮ A hypergeometric function approach to the persistence problem of single sine-Gordon breathers ⋮ Homoclinic orbits for the perturbed sine-Gordon equation ⋮ Modulating pulse solutions to quadratic quasilinear wave equations over exponentially long length scales ⋮ Breathers as homoclinic geometric wave maps
