Evolution of two-dimensional standing and travelling breather solutions for the sine-Gordon equation

DOI10.1016/j.physd.2003.09.047zbMath1051.35074OpenAlexW2043833389MaRDI QIDQ1885878

Annette L. Worthy, Noel F. Smyth, Antonmaria A. Minzoni

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.09.047

zbMATH Keywords

stabilityperiodic solutionssolitonsine-Gordon equationmodulation theorybreatherlight bulletsdistorted initial conditions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

A numerical scheme and some theoretical aspects for the cylindrically and spherically symmetric sine-Gordon equations, Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse, A stable time-space Jacobi pseudospectral method for two-dimensional sine-Gordon equation, Modulation theory for radially symmetric kink waves governed by a multi-dimensional sine-Gordon equation

Cites Work

• Modeling light bullets with the two-dimensional sine-Gordon equation
• Metastable stationary solutions of the radiald-dimensional sine-Gordon model
• Pulse evolution for a two-dimensional sine-Gordon equation