# Breather--kink-antikink-pair conversion in the driven sine-Gordon system

## Abstract

Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated: large driving forces cause the breather to split into a kk-bar (2..pi.. kink--2..pi.. antikink) pair while for small driving forces the breather excitations enter stationary modes. A perturbation method and a potential-energy argument yields expressions for the threshold for breather decomposition. Good agreement between theory and numerical results is found when the initial phase (theta) of the breather is either 0 or ..pi... For thetaapprox. =..pi../2 and thetaapprox. =3..pi../2 the deviation gets larger.

- Authors:

- Publication Date:

- Research Org.:
- Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

- OSTI Identifier:
- 5168581

- Resource Type:
- Journal Article

- Journal Name:
- Phys. Rev. A; (United States)

- Additional Journal Information:
- Journal Volume: 29:1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SOLITONS; BOUND STATE; EXCITATION; FREQUENCY ANALYSIS; DISTURBANCES; SINE-GORDON EQUATION; ENERGY-LEVEL TRANSITIONS; EQUATIONS; FIELD EQUATIONS; QUASI PARTICLES; 658000* - Mathematical Physics- (-1987)

### Citation Formats

```
Lomdahl, P S, Olsen, O H, and Samuelsen, M R.
```*Breather--kink-antikink-pair conversion in the driven sine-Gordon system*. United States: N. p., 1984.
Web. doi:10.1103/PhysRevA.29.350.

```
Lomdahl, P S, Olsen, O H, & Samuelsen, M R.
```*Breather--kink-antikink-pair conversion in the driven sine-Gordon system*. United States. https://doi.org/10.1103/PhysRevA.29.350

```
Lomdahl, P S, Olsen, O H, and Samuelsen, M R. Sun .
"Breather--kink-antikink-pair conversion in the driven sine-Gordon system". United States. https://doi.org/10.1103/PhysRevA.29.350.
```

```
@article{osti_5168581,
```

title = {Breather--kink-antikink-pair conversion in the driven sine-Gordon system},

author = {Lomdahl, P S and Olsen, O H and Samuelsen, M R},

abstractNote = {Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated: large driving forces cause the breather to split into a kk-bar (2..pi.. kink--2..pi.. antikink) pair while for small driving forces the breather excitations enter stationary modes. A perturbation method and a potential-energy argument yields expressions for the threshold for breather decomposition. Good agreement between theory and numerical results is found when the initial phase (theta) of the breather is either 0 or ..pi... For thetaapprox. =..pi../2 and thetaapprox. =3..pi../2 the deviation gets larger.},

doi = {10.1103/PhysRevA.29.350},

url = {https://www.osti.gov/biblio/5168581},
journal = {Phys. Rev. A; (United States)},

number = ,

volume = 29:1,

place = {United States},

year = {1984},

month = {1}

}

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