# Difference between revisions of "Sine-Gordon equation"

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The '''sine-Gordon equation''' | The '''sine-Gordon equation''' | ||

− | <center><math>\Box u = sin(u)</math></center> | + | <center><math>\Box u = \sin(u)</math></center> |

in <math>R^{1+1}</math> arises in the study of optical pulses, or from the Scott model of a continuum of pendula hanging from a wire. It is a [[completely integrable]] equation, and has many interesting solutions, including "breather" solutions. | in <math>R^{1+1}</math> arises in the study of optical pulses, or from the Scott model of a continuum of pendula hanging from a wire. It is a [[completely integrable]] equation, and has many interesting solutions, including "breather" solutions. |

## Revision as of 15:51, 5 May 2007

[Contributions to this section are sorely needed!]

The **sine-Gordon equation**

in arises in the study of optical pulses, or from the Scott model of a continuum of pendula hanging from a wire. It is a completely integrable equation, and has many interesting solutions, including "breather" solutions.

Because the non-linearity is bounded, GWP is easily obtained for or even data.