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Physics and mathematics

of nonlinear processes and models

(University "La Sapienza" , Rome, Italy)

 

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  We investigate nonlinear phenomena 
utilizing “exact” mathematical approaches,
within the context of the progress of the last decades
concerning “integrable” dynamical systems 
with a number of degrees of freedom either finite 
(i. e., systems of nonlinear ODEs) or infinite
(i.e., nonlinear PDEs): 
the so-called “soliton  revolution”. 
  
  In addition to findings the primary interest
of which is mathematical, our results are
relevant to nonlinear optics, to fluid dynamics,
and to classical many-body problems 
(including those underlying the foundations of
statistical mechanics and thermodynamics).