Breathing Solitary Waves in a Sine-Gordon Two-Dimensional Lattice
- 17 July 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (3) , 357-361
- https://doi.org/10.1103/physrevlett.75.357
Abstract
We study theoretically and numerically the dynamical behavior of a two-dimensional sine-Gordon lattice. We show that, via modulational instability, an initial-low-amplitude plane wave can evolve spontaneously into moving localized modes with large amplitude. These nonlinear modes, with dimensions depending on the characteristic wavelengths of the instability, behave like breathing solitary waves and present particlelike properties.Keywords
This publication has 23 references indexed in Scilit:
- Conditions on the existence of localized excitations in nonlinear discrete systemsPhysical Review E, 1994
- Rossby Vortices, Spiral Structures, SolitonsPublished by Springer Nature ,1993
- Pulsons, bubbles, and the corresponding nonlinear wave equations in n+1 dimensionsPhysics Letters A, 1990
- Soliton PhenomenologyPublished by Springer Nature ,1990
- Intrinsic Localized Modes in Anharmonic CrystalsPhysical Review Letters, 1988
- Multi-vortex-like solutions of the sine-Gordon equationPhysics Letters A, 1985
- Multi-(Resonant-Soliton)-Soliton Solutions an Vortex-Like Solutions to Two- and Three-Dimensional Sine-Gordon EquationsProgress of Theoretical Physics, 1982
- On vortex configurations in two-dimensional sine-Gordon systems with applications to phase transitions of the Kosterlitz-Thouless type and to Josephson junctionsPhysics Letters A, 1982
- Ring-Shaped Quasi-Soliton Solutions to the Two- and Three-Dimensional Sine-Gordon EquationPhysica Scripta, 1979
- Special solutions of the Sine-Gordon equation in 2 + 1 dimensionsLettere al Nuovo Cimento (1971-1985), 1978