What is meant by 2+1 dimensional

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The term "2+1 dimensional" refers to a system with two spatial dimensions and one time dimension. This concept is relevant in the context of the nonlinear Schrödinger equation, particularly when considering time-dependent external potentials. Such systems can exhibit complex behaviors, including chaotic dynamics, due to the interplay of time and spatial variables. The discussion emphasizes the significance of understanding phase space in these nonlinear systems. Overall, "2+1 dimensional" captures the essence of modeling dynamics in a three-dimensional framework.
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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 schrodinger 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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