Difference between revisions of "Sine-Gordon equation"

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m (Sine-Gordon moved to Sine-Gordon equation: proper name)
m (TeX)
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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.