What is meant by 2+1 dimensional

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SUMMARY

The term "2+1 dimensional" refers to a system characterized by two spatial dimensions and one temporal dimension. This concept is particularly relevant in the context of the nonlinear Schrödinger equation, especially when considering time-dependent external potentials. In such systems, the phase space can exhibit complex behaviors, including chaotic dynamics, as demonstrated in studies involving the Gross-Pitaevskii equation.

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Whenry
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what is meant by "2+1 dimensional"

what is meant by "2+1 dimensional"

I am assuming this means two space dimensions plus one time...but I just want to make sure.

However, in my case I am working with the nonlinear Schrödinger equation with a time dependent external potential. So there is position, velocity, acceleration, and time.
 
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Whenry said:
what is meant by "2+1 dimensional"
Where? When? By whom?
 


In a paper on the dynamics of the Gross-Pitaevskii equation.

"Time-dependent periodic forces, enriches the behavior of the model. With the explicit time dependence, 2+1 dimensional phase space of the nonlinear system admits the possibility of chaotic dynamics.
 


Yea I think it does... 1 + 1 being lineland.
 


Whenry said:
what is meant by "2+1 dimensional"

I am assuming this means two space dimensions plus one time...but I just want to make sure.

Yes, that's correct.
 

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