| Abstract: |
| In this talk I will present a collection of recent results on modeling soliton gas. Specifically, I describe how one can take an $N$-soliton solution of any equation in the AKNS hierarchy and pass in the $N \to \infty$ limit to a particular model of soliton gas by making certain reasonable assumptions on the asymptotic density of eigenvalues and the norming constants which define the $N$-soliton spectrally. Time permitting I will discuss some results on the large time evolution of such solutions, |
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