Is a squeezed state keeping as a squeezed state in its evolution?

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we well know that, a coherent state keeps to be a coherent state in its evolution

does similar conclusion hold for a squeezed state?
 
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the answer is YES!

i have make out of it
 
Doesn't a coherent state stays coherent under the evolution of a Hamiltonian that is at most quadratic in Position and momentum. If I am thinking correctly, if a non-quadratic appears in the Hamiltonian the coherent form of the state is no longer valid under time evolution.

I am pretty sure the same thing is true for squeezed states as well.
 

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